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Finding the Fourth Proportional to 3,116.83, 4,675.26 and 925.57

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Solution

The fourth proportional to 3,116.83, 4,675.26 and 925.57 is: 1,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.83 : 4,675.26 = 925.57 : x
  2. Step 2: Convert to fraction form
    3,116.83/4,675.26 = 925.57/x
  3. Step 3: Cross multiply
    3,116.83x = 4,675.26 × 925.57
  4. Step 4: Simplify right side
    3,116.83x = 4,327,280.40
  5. Step 5: Solve for x
    x = 4,327,280.40/3,116.83
  6. Step 6: Final answer
    x = 1,388.36

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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.