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Finding the Fourth Proportional to 5,698.28, 8,550.72 and 2,411.16

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Solution

The fourth proportional to 5,698.28, 8,550.72 and 2,411.16 is: 3,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.28 : 8,550.72 = 2,411.16 : x
  2. Step 2: Convert to fraction form
    5,698.28/8,550.72 = 2,411.16/x
  3. Step 3: Cross multiply
    5,698.28x = 8,550.72 × 2,411.16
  4. Step 4: Simplify right side
    5,698.28x = 20,617,154.04
  5. Step 5: Solve for x
    x = 20,617,154.04/5,698.28
  6. Step 6: Final answer
    x = 3,618.14

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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.