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Finding the Fourth Proportional to 4,103.76, 6,156.80 and 1,182.32

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Solution

The fourth proportional to 4,103.76, 6,156.80 and 1,182.32 is: 1,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.76 : 6,156.80 = 1,182.32 : x
  2. Step 2: Convert to fraction form
    4,103.76/6,156.80 = 1,182.32/x
  3. Step 3: Cross multiply
    4,103.76x = 6,156.80 × 1,182.32
  4. Step 4: Simplify right side
    4,103.76x = 7,279,307.78
  5. Step 5: Solve for x
    x = 7,279,307.78/4,103.76
  6. Step 6: Final answer
    x = 1,773.81

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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.