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Finding the Fourth Proportional to 3,545.11, 5,317.05 and 947.44

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Solution

The fourth proportional to 3,545.11, 5,317.05 and 947.44 is: 1,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.11 : 5,317.05 = 947.44 : x
  2. Step 2: Convert to fraction form
    3,545.11/5,317.05 = 947.44/x
  3. Step 3: Cross multiply
    3,545.11x = 5,317.05 × 947.44
  4. Step 4: Simplify right side
    3,545.11x = 5,037,585.85
  5. Step 5: Solve for x
    x = 5,037,585.85/3,545.11
  6. Step 6: Final answer
    x = 1,421.00

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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.