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Finding the Fourth Proportional to 3,810.52, 5,715.90 and 1,215.40

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Solution

The fourth proportional to 3,810.52, 5,715.90 and 1,215.40 is: 1,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.52 : 5,715.90 = 1,215.40 : x
  2. Step 2: Convert to fraction form
    3,810.52/5,715.90 = 1,215.40/x
  3. Step 3: Cross multiply
    3,810.52x = 5,715.90 × 1,215.40
  4. Step 4: Simplify right side
    3,810.52x = 6,947,104.86
  5. Step 5: Solve for x
    x = 6,947,104.86/3,810.52
  6. Step 6: Final answer
    x = 1,823.14

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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.