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Finding the Fourth Proportional to 4,287.72, 6,429.02 and 2,237.16

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Solution

The fourth proportional to 4,287.72, 6,429.02 and 2,237.16 is: 3,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.72 : 6,429.02 = 2,237.16 : x
  2. Step 2: Convert to fraction form
    4,287.72/6,429.02 = 2,237.16/x
  3. Step 3: Cross multiply
    4,287.72x = 6,429.02 × 2,237.16
  4. Step 4: Simplify right side
    4,287.72x = 14,382,746.38
  5. Step 5: Solve for x
    x = 14,382,746.38/4,287.72
  6. Step 6: Final answer
    x = 3,354.40

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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.