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Finding the Fourth Proportional to 3,151.59, 4,714.16 and 2,800.46

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Solution

The fourth proportional to 3,151.59, 4,714.16 and 2,800.46 is: 4,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.59 : 4,714.16 = 2,800.46 : x
  2. Step 2: Convert to fraction form
    3,151.59/4,714.16 = 2,800.46/x
  3. Step 3: Cross multiply
    3,151.59x = 4,714.16 × 2,800.46
  4. Step 4: Simplify right side
    3,151.59x = 13,201,778.94
  5. Step 5: Solve for x
    x = 13,201,778.94/3,151.59
  6. Step 6: Final answer
    x = 4,188.93

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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.