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Finding the Fourth Proportional to 3,545.71, 5,307.63 and 2,310.46

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Solution

The fourth proportional to 3,545.71, 5,307.63 and 2,310.46 is: 3,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.71 : 5,307.63 = 2,310.46 : x
  2. Step 2: Convert to fraction form
    3,545.71/5,307.63 = 2,310.46/x
  3. Step 3: Cross multiply
    3,545.71x = 5,307.63 × 2,310.46
  4. Step 4: Simplify right side
    3,545.71x = 12,263,044.88
  5. Step 5: Solve for x
    x = 12,263,044.88/3,545.71
  6. Step 6: Final answer
    x = 3,458.56

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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.