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Finding the Fourth Proportional to 4,866.59, 6,714.80 and 2,742.02

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Solution

The fourth proportional to 4,866.59, 6,714.80 and 2,742.02 is: 3,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.59 : 6,714.80 = 2,742.02 : x
  2. Step 2: Convert to fraction form
    4,866.59/6,714.80 = 2,742.02/x
  3. Step 3: Cross multiply
    4,866.59x = 6,714.80 × 2,742.02
  4. Step 4: Simplify right side
    4,866.59x = 18,412,068.61
  5. Step 5: Solve for x
    x = 18,412,068.61/4,866.59
  6. Step 6: Final answer
    x = 3,783.37

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Why These Related Problems?

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