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Finding the Fourth Proportional to 3,117.46, 4,669.49 and 1,471.54

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Solution

The fourth proportional to 3,117.46, 4,669.49 and 1,471.54 is: 2,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.46 : 4,669.49 = 1,471.54 : x
  2. Step 2: Convert to fraction form
    3,117.46/4,669.49 = 1,471.54/x
  3. Step 3: Cross multiply
    3,117.46x = 4,669.49 × 1,471.54
  4. Step 4: Simplify right side
    3,117.46x = 6,871,341.31
  5. Step 5: Solve for x
    x = 6,871,341.31/3,117.46
  6. Step 6: Final answer
    x = 2,204.15

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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.