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Finding the Fourth Proportional to 5,636.23, 8,454.14 and 1,476.20

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Solution

The fourth proportional to 5,636.23, 8,454.14 and 1,476.20 is: 2,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.23 : 8,454.14 = 1,476.20 : x
  2. Step 2: Convert to fraction form
    5,636.23/8,454.14 = 1,476.20/x
  3. Step 3: Cross multiply
    5,636.23x = 8,454.14 × 1,476.20
  4. Step 4: Simplify right side
    5,636.23x = 12,480,001.47
  5. Step 5: Solve for x
    x = 12,480,001.47/5,636.23
  6. Step 6: Final answer
    x = 2,214.25

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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.