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Finding the Fourth Proportional to 3,841.48, 5,761.23 and 1,068.40

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Solution

The fourth proportional to 3,841.48, 5,761.23 and 1,068.40 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.48 : 5,761.23 = 1,068.40 : x
  2. Step 2: Convert to fraction form
    3,841.48/5,761.23 = 1,068.40/x
  3. Step 3: Cross multiply
    3,841.48x = 5,761.23 × 1,068.40
  4. Step 4: Simplify right side
    3,841.48x = 6,155,298.13
  5. Step 5: Solve for x
    x = 6,155,298.13/3,841.48
  6. Step 6: Final answer
    x = 1,602.32

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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.