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Finding the Fourth Proportional to 5,459.78, 7,534.50 and 3,101.93

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Solution

The fourth proportional to 5,459.78, 7,534.50 and 3,101.93 is: 4,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.78 : 7,534.50 = 3,101.93 : x
  2. Step 2: Convert to fraction form
    5,459.78/7,534.50 = 3,101.93/x
  3. Step 3: Cross multiply
    5,459.78x = 7,534.50 × 3,101.93
  4. Step 4: Simplify right side
    5,459.78x = 23,371,453.91
  5. Step 5: Solve for x
    x = 23,371,453.91/5,459.78
  6. Step 6: Final answer
    x = 4,280.66

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Why These Related Problems?

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