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Finding the Fourth Proportional to 3,240.32, 4,860.96 and 931.52

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Solution

The fourth proportional to 3,240.32, 4,860.96 and 931.52 is: 1,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.32 : 4,860.96 = 931.52 : x
  2. Step 2: Convert to fraction form
    3,240.32/4,860.96 = 931.52/x
  3. Step 3: Cross multiply
    3,240.32x = 4,860.96 × 931.52
  4. Step 4: Simplify right side
    3,240.32x = 4,528,081.46
  5. Step 5: Solve for x
    x = 4,528,081.46/3,240.32
  6. Step 6: Final answer
    x = 1,397.42

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