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Finding the Fourth Proportional to 3,807.18, 5,714.28 and 2,830.32

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Solution

The fourth proportional to 3,807.18, 5,714.28 and 2,830.32 is: 4,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.18 : 5,714.28 = 2,830.32 : x
  2. Step 2: Convert to fraction form
    3,807.18/5,714.28 = 2,830.32/x
  3. Step 3: Cross multiply
    3,807.18x = 5,714.28 × 2,830.32
  4. Step 4: Simplify right side
    3,807.18x = 16,173,240.97
  5. Step 5: Solve for x
    x = 16,173,240.97/3,807.18
  6. Step 6: Final answer
    x = 4,248.09

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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.