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Finding the Fourth Proportional to 5,605.29, 7,734.93 and 3,365.84

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Solution

The fourth proportional to 5,605.29, 7,734.93 and 3,365.84 is: 4,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.29 : 7,734.93 = 3,365.84 : x
  2. Step 2: Convert to fraction form
    5,605.29/7,734.93 = 3,365.84/x
  3. Step 3: Cross multiply
    5,605.29x = 7,734.93 × 3,365.84
  4. Step 4: Simplify right side
    5,605.29x = 26,034,498.12
  5. Step 5: Solve for x
    x = 26,034,498.12/5,605.29
  6. Step 6: Final answer
    x = 4,644.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.