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Finding the Fourth Proportional to 5,190.65, 7,735.63 and 5,024.61

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Solution

The fourth proportional to 5,190.65, 7,735.63 and 5,024.61 is: 7,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.65 : 7,735.63 = 5,024.61 : x
  2. Step 2: Convert to fraction form
    5,190.65/7,735.63 = 5,024.61/x
  3. Step 3: Cross multiply
    5,190.65x = 7,735.63 × 5,024.61
  4. Step 4: Simplify right side
    5,190.65x = 38,868,523.85
  5. Step 5: Solve for x
    x = 38,868,523.85/5,190.65
  6. Step 6: Final answer
    x = 7,488.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.