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Finding the Fourth Proportional to 5,355.72, 8,032.50 and 1,459.62

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Solution

The fourth proportional to 5,355.72, 8,032.50 and 1,459.62 is: 2,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.72 : 8,032.50 = 1,459.62 : x
  2. Step 2: Convert to fraction form
    5,355.72/8,032.50 = 1,459.62/x
  3. Step 3: Cross multiply
    5,355.72x = 8,032.50 × 1,459.62
  4. Step 4: Simplify right side
    5,355.72x = 11,724,397.65
  5. Step 5: Solve for x
    x = 11,724,397.65/5,355.72
  6. Step 6: Final answer
    x = 2,189.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.