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Finding the Fourth Proportional to 5,142.61, 7,712.78 and 1,445.21

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Solution

The fourth proportional to 5,142.61, 7,712.78 and 1,445.21 is: 2,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.61 : 7,712.78 = 1,445.21 : x
  2. Step 2: Convert to fraction form
    5,142.61/7,712.78 = 1,445.21/x
  3. Step 3: Cross multiply
    5,142.61x = 7,712.78 × 1,445.21
  4. Step 4: Simplify right side
    5,142.61x = 11,146,598.84
  5. Step 5: Solve for x
    x = 11,146,598.84/5,142.61
  6. Step 6: Final answer
    x = 2,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.