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Finding the Fourth Proportional to 5,671.46, 7,834.12 and 5,468.96

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Solution

The fourth proportional to 5,671.46, 7,834.12 and 5,468.96 is: 7,554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.46 : 7,834.12 = 5,468.96 : x
  2. Step 2: Convert to fraction form
    5,671.46/7,834.12 = 5,468.96/x
  3. Step 3: Cross multiply
    5,671.46x = 7,834.12 × 5,468.96
  4. Step 4: Simplify right side
    5,671.46x = 42,844,488.92
  5. Step 5: Solve for x
    x = 42,844,488.92/5,671.46
  6. Step 6: Final answer
    x = 7,554.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.