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Finding the Fourth Proportional to 6,041.65, 9,061.41 and 1,658.05

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Solution

The fourth proportional to 6,041.65, 9,061.41 and 1,658.05 is: 2,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.65 : 9,061.41 = 1,658.05 : x
  2. Step 2: Convert to fraction form
    6,041.65/9,061.41 = 1,658.05/x
  3. Step 3: Cross multiply
    6,041.65x = 9,061.41 × 1,658.05
  4. Step 4: Simplify right side
    6,041.65x = 15,024,270.85
  5. Step 5: Solve for x
    x = 15,024,270.85/6,041.65
  6. Step 6: Final answer
    x = 2,486.78

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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.