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Finding the Fourth Proportional to 4,442.81, 6,142.76 and 4,372.64

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Solution

The fourth proportional to 4,442.81, 6,142.76 and 4,372.64 is: 6,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.81 : 6,142.76 = 4,372.64 : x
  2. Step 2: Convert to fraction form
    4,442.81/6,142.76 = 4,372.64/x
  3. Step 3: Cross multiply
    4,442.81x = 6,142.76 × 4,372.64
  4. Step 4: Simplify right side
    4,442.81x = 26,860,064.94
  5. Step 5: Solve for x
    x = 26,860,064.94/4,442.81
  6. Step 6: Final answer
    x = 6,045.74

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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.