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Finding the Fourth Proportional to 4,077.65, 6,109.71 and 3,737.18

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Solution

The fourth proportional to 4,077.65, 6,109.71 and 3,737.18 is: 5,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.65 : 6,109.71 = 3,737.18 : x
  2. Step 2: Convert to fraction form
    4,077.65/6,109.71 = 3,737.18/x
  3. Step 3: Cross multiply
    4,077.65x = 6,109.71 × 3,737.18
  4. Step 4: Simplify right side
    4,077.65x = 22,833,055.47
  5. Step 5: Solve for x
    x = 22,833,055.47/4,077.65
  6. Step 6: Final answer
    x = 5,599.57

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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.