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Finding the Fourth Proportional to 5,292.61, 7,937.29 and 3,659.65

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Solution

The fourth proportional to 5,292.61, 7,937.29 and 3,659.65 is: 5,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.61 : 7,937.29 = 3,659.65 : x
  2. Step 2: Convert to fraction form
    5,292.61/7,937.29 = 3,659.65/x
  3. Step 3: Cross multiply
    5,292.61x = 7,937.29 × 3,659.65
  4. Step 4: Simplify right side
    5,292.61x = 29,047,703.35
  5. Step 5: Solve for x
    x = 29,047,703.35/5,292.61
  6. Step 6: Final answer
    x = 5,488.35

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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.