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Finding the Fourth Proportional to 5,355.60, 8,032.14 and 1,459.08

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Solution

The fourth proportional to 5,355.60, 8,032.14 and 1,459.08 is: 2,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.60 : 8,032.14 = 1,459.08 : x
  2. Step 2: Convert to fraction form
    5,355.60/8,032.14 = 1,459.08/x
  3. Step 3: Cross multiply
    5,355.60x = 8,032.14 × 1,459.08
  4. Step 4: Simplify right side
    5,355.60x = 11,719,534.83
  5. Step 5: Solve for x
    x = 11,719,534.83/5,355.60
  6. Step 6: Final answer
    x = 2,188.28

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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.