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Finding the Fourth Proportional to 3,670.71, 5,506.06 and 1,073.65

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Solution

The fourth proportional to 3,670.71, 5,506.06 and 1,073.65 is: 1,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.71 : 5,506.06 = 1,073.65 : x
  2. Step 2: Convert to fraction form
    3,670.71/5,506.06 = 1,073.65/x
  3. Step 3: Cross multiply
    3,670.71x = 5,506.06 × 1,073.65
  4. Step 4: Simplify right side
    3,670.71x = 5,911,553.79
  5. Step 5: Solve for x
    x = 5,911,553.79/3,670.71
  6. Step 6: Final answer
    x = 1,610.47

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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.