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Finding the Fourth Proportional to 5,389.74, 8,089.47 and 3,535.65

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Solution

The fourth proportional to 5,389.74, 8,089.47 and 3,535.65 is: 5,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.74 : 8,089.47 = 3,535.65 : x
  2. Step 2: Convert to fraction form
    5,389.74/8,089.47 = 3,535.65/x
  3. Step 3: Cross multiply
    5,389.74x = 8,089.47 × 3,535.65
  4. Step 4: Simplify right side
    5,389.74x = 28,601,534.61
  5. Step 5: Solve for x
    x = 28,601,534.61/5,389.74
  6. Step 6: Final answer
    x = 5,306.66

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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.