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Finding the Fourth Proportional to 5,302.40, 7,319.04 and 3,730.88

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Solution

The fourth proportional to 5,302.40, 7,319.04 and 3,730.88 is: 5,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.40 : 7,319.04 = 3,730.88 : x
  2. Step 2: Convert to fraction form
    5,302.40/7,319.04 = 3,730.88/x
  3. Step 3: Cross multiply
    5,302.40x = 7,319.04 × 3,730.88
  4. Step 4: Simplify right side
    5,302.40x = 27,306,459.96
  5. Step 5: Solve for x
    x = 27,306,459.96/5,302.40
  6. Step 6: Final answer
    x = 5,149.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.