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Finding the Fourth Proportional to 5,461.86, 7,535.07 and 3,473.40

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Solution

The fourth proportional to 5,461.86, 7,535.07 and 3,473.40 is: 4,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.86 : 7,535.07 = 3,473.40 : x
  2. Step 2: Convert to fraction form
    5,461.86/7,535.07 = 3,473.40/x
  3. Step 3: Cross multiply
    5,461.86x = 7,535.07 × 3,473.40
  4. Step 4: Simplify right side
    5,461.86x = 26,172,312.14
  5. Step 5: Solve for x
    x = 26,172,312.14/5,461.86
  6. Step 6: Final answer
    x = 4,791.83

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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.