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Finding the Fourth Proportional to 5,038.64, 6,952.68 and 2,800.16

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Solution

The fourth proportional to 5,038.64, 6,952.68 and 2,800.16 is: 3,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.64 : 6,952.68 = 2,800.16 : x
  2. Step 2: Convert to fraction form
    5,038.64/6,952.68 = 2,800.16/x
  3. Step 3: Cross multiply
    5,038.64x = 6,952.68 × 2,800.16
  4. Step 4: Simplify right side
    5,038.64x = 19,468,616.43
  5. Step 5: Solve for x
    x = 19,468,616.43/5,038.64
  6. Step 6: Final answer
    x = 3,863.86

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