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Finding the Fourth Proportional to 3,810.69, 5,715.42 and 1,177.53

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Solution

The fourth proportional to 3,810.69, 5,715.42 and 1,177.53 is: 1,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.69 : 5,715.42 = 1,177.53 : x
  2. Step 2: Convert to fraction form
    3,810.69/5,715.42 = 1,177.53/x
  3. Step 3: Cross multiply
    3,810.69x = 5,715.42 × 1,177.53
  4. Step 4: Simplify right side
    3,810.69x = 6,730,078.51
  5. Step 5: Solve for x
    x = 6,730,078.51/3,810.69
  6. Step 6: Final answer
    x = 1,766.10

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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.