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Finding the Fourth Proportional to 3,668,009.40, 5,502,014.10 and 1,774,942.20

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Solution

The fourth proportional to 3,668,009.40, 5,502,014.10 and 1,774,942.20 is: 2,662,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,009.40 : 5,502,014.10 = 1,774,942.20 : x
  2. Step 2: Convert to fraction form
    3,668,009.40/5,502,014.10 = 1,774,942.20/x
  3. Step 3: Cross multiply
    3,668,009.40x = 5,502,014.10 × 1,774,942.20
  4. Step 4: Simplify right side
    3,668,009.40x = 9,765,757,011,085.02
  5. Step 5: Solve for x
    x = 9,765,757,011,085.02/3,668,009.40
  6. Step 6: Final answer
    x = 2,662,413.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.