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Finding the Fourth Proportional to 3,508.71, 5,263.87 and 1,043.47

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Solution

The fourth proportional to 3,508.71, 5,263.87 and 1,043.47 is: 1,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.71 : 5,263.87 = 1,043.47 : x
  2. Step 2: Convert to fraction form
    3,508.71/5,263.87 = 1,043.47/x
  3. Step 3: Cross multiply
    3,508.71x = 5,263.87 × 1,043.47
  4. Step 4: Simplify right side
    3,508.71x = 5,492,690.43
  5. Step 5: Solve for x
    x = 5,492,690.43/3,508.71
  6. Step 6: Final answer
    x = 1,565.44

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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.