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Finding the Fourth Proportional to 5,636.57, 8,454.86 and 1,476.14

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Solution

The fourth proportional to 5,636.57, 8,454.86 and 1,476.14 is: 2,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.57 : 8,454.86 = 1,476.14 : x
  2. Step 2: Convert to fraction form
    5,636.57/8,454.86 = 1,476.14/x
  3. Step 3: Cross multiply
    5,636.57x = 8,454.86 × 1,476.14
  4. Step 4: Simplify right side
    5,636.57x = 12,480,549.66
  5. Step 5: Solve for x
    x = 12,480,549.66/5,636.57
  6. Step 6: Final answer
    x = 2,214.21

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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.