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Finding the Fourth Proportional to 4,867.32, 6,714.56 and 3,188

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Solution

The fourth proportional to 4,867.32, 6,714.56 and 3,188 is: 4,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.32 : 6,714.56 = 3,188 : x
  2. Step 2: Convert to fraction form
    4,867.32/6,714.56 = 3,188/x
  3. Step 3: Cross multiply
    4,867.32x = 6,714.56 × 3,188
  4. Step 4: Simplify right side
    4,867.32x = 21,406,017.28
  5. Step 5: Solve for x
    x = 21,406,017.28/4,867.32
  6. Step 6: Final answer
    x = 4,397.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.