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Finding the Fourth Proportional to 3,471.32, 5,205.16 and 2,603.81

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Solution

The fourth proportional to 3,471.32, 5,205.16 and 2,603.81 is: 3,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.32 : 5,205.16 = 2,603.81 : x
  2. Step 2: Convert to fraction form
    3,471.32/5,205.16 = 2,603.81/x
  3. Step 3: Cross multiply
    3,471.32x = 5,205.16 × 2,603.81
  4. Step 4: Simplify right side
    3,471.32x = 13,553,263.93
  5. Step 5: Solve for x
    x = 13,553,263.93/3,471.32
  6. Step 6: Final answer
    x = 3,904.35

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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.