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Finding the Fourth Proportional to 3,116.54, 4,675.28 and 925.01

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Solution

The fourth proportional to 3,116.54, 4,675.28 and 925.01 is: 1,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.54 : 4,675.28 = 925.01 : x
  2. Step 2: Convert to fraction form
    3,116.54/4,675.28 = 925.01/x
  3. Step 3: Cross multiply
    3,116.54x = 4,675.28 × 925.01
  4. Step 4: Simplify right side
    3,116.54x = 4,324,676.13
  5. Step 5: Solve for x
    x = 4,324,676.13/3,116.54
  6. Step 6: Final answer
    x = 1,387.65

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