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Finding the Fourth Proportional to 5,404.90, 8,106.68 and 1,456.47

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Solution

The fourth proportional to 5,404.90, 8,106.68 and 1,456.47 is: 2,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.90 : 8,106.68 = 1,456.47 : x
  2. Step 2: Convert to fraction form
    5,404.90/8,106.68 = 1,456.47/x
  3. Step 3: Cross multiply
    5,404.90x = 8,106.68 × 1,456.47
  4. Step 4: Simplify right side
    5,404.90x = 11,807,088.40
  5. Step 5: Solve for x
    x = 11,807,088.40/5,404.90
  6. Step 6: Final answer
    x = 2,184.52

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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.