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Finding the Fourth Proportional to 5,442.56, 7,504.08 and 3,867.92

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Solution

The fourth proportional to 5,442.56, 7,504.08 and 3,867.92 is: 5,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.56 : 7,504.08 = 3,867.92 : x
  2. Step 2: Convert to fraction form
    5,442.56/7,504.08 = 3,867.92/x
  3. Step 3: Cross multiply
    5,442.56x = 7,504.08 × 3,867.92
  4. Step 4: Simplify right side
    5,442.56x = 29,025,181.11
  5. Step 5: Solve for x
    x = 29,025,181.11/5,442.56
  6. Step 6: Final answer
    x = 5,333.00

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1.5x scale

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.