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Finding the Fourth Proportional to 4,580, 6,870.54 and 1,502

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Solution

The fourth proportional to 4,580, 6,870.54 and 1,502 is: 2,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,870.54 = 1,502 : x
  2. Step 2: Convert to fraction form
    4,580/6,870.54 = 1,502/x
  3. Step 3: Cross multiply
    4,580x = 6,870.54 × 1,502
  4. Step 4: Simplify right side
    4,580x = 10,319,551.08
  5. Step 5: Solve for x
    x = 10,319,551.08/4,580
  6. Step 6: Final answer
    x = 2,253.18

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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.