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Finding the Fourth Proportional to 4,753.30, 7,131.17 and 1,830.82

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Solution

The fourth proportional to 4,753.30, 7,131.17 and 1,830.82 is: 2,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.30 : 7,131.17 = 1,830.82 : x
  2. Step 2: Convert to fraction form
    4,753.30/7,131.17 = 1,830.82/x
  3. Step 3: Cross multiply
    4,753.30x = 7,131.17 × 1,830.82
  4. Step 4: Simplify right side
    4,753.30x = 13,055,888.66
  5. Step 5: Solve for x
    x = 13,055,888.66/4,753.30
  6. Step 6: Final answer
    x = 2,746.70

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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.