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Finding the Fourth Proportional to 4,667.31, 6,442.20 and 4,140

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Solution

The fourth proportional to 4,667.31, 6,442.20 and 4,140 is: 5,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.31 : 6,442.20 = 4,140 : x
  2. Step 2: Convert to fraction form
    4,667.31/6,442.20 = 4,140/x
  3. Step 3: Cross multiply
    4,667.31x = 6,442.20 × 4,140
  4. Step 4: Simplify right side
    4,667.31x = 26,670,708
  5. Step 5: Solve for x
    x = 26,670,708/4,667.31
  6. Step 6: Final answer
    x = 5,714.36

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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.