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Finding the Fourth Proportional to 5,337.94, 8,007.32 and 1,442.32

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Solution

The fourth proportional to 5,337.94, 8,007.32 and 1,442.32 is: 2,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.94 : 8,007.32 = 1,442.32 : x
  2. Step 2: Convert to fraction form
    5,337.94/8,007.32 = 1,442.32/x
  3. Step 3: Cross multiply
    5,337.94x = 8,007.32 × 1,442.32
  4. Step 4: Simplify right side
    5,337.94x = 11,549,117.78
  5. Step 5: Solve for x
    x = 11,549,117.78/5,337.94
  6. Step 6: Final answer
    x = 2,163.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.