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Finding the Fourth Proportional to 4,442.40, 6,663.60 and 4,118.40

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Solution

The fourth proportional to 4,442.40, 6,663.60 and 4,118.40 is: 6,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.40 : 6,663.60 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    4,442.40/6,663.60 = 4,118.40/x
  3. Step 3: Cross multiply
    4,442.40x = 6,663.60 × 4,118.40
  4. Step 4: Simplify right side
    4,442.40x = 27,443,370.24
  5. Step 5: Solve for x
    x = 27,443,370.24/4,442.40
  6. Step 6: Final answer
    x = 6,177.60

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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.