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Finding the Fourth Proportional to 5,157.70, 7,735.68 and 1,459.10

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Solution

The fourth proportional to 5,157.70, 7,735.68 and 1,459.10 is: 2,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.70 : 7,735.68 = 1,459.10 : x
  2. Step 2: Convert to fraction form
    5,157.70/7,735.68 = 1,459.10/x
  3. Step 3: Cross multiply
    5,157.70x = 7,735.68 × 1,459.10
  4. Step 4: Simplify right side
    5,157.70x = 11,287,130.69
  5. Step 5: Solve for x
    x = 11,287,130.69/5,157.70
  6. Step 6: Final answer
    x = 2,188.40

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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.