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Finding the Fourth Proportional to 3,851.17, 5,776.75 and 929.48

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Solution

The fourth proportional to 3,851.17, 5,776.75 and 929.48 is: 1,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.17 : 5,776.75 = 929.48 : x
  2. Step 2: Convert to fraction form
    3,851.17/5,776.75 = 929.48/x
  3. Step 3: Cross multiply
    3,851.17x = 5,776.75 × 929.48
  4. Step 4: Simplify right side
    3,851.17x = 5,369,373.59
  5. Step 5: Solve for x
    x = 5,369,373.59/3,851.17
  6. Step 6: Final answer
    x = 1,394.22

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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.