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Finding the Fourth Proportional to 4,729.88, 7,083.88 and 4,565.85

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Solution

The fourth proportional to 4,729.88, 7,083.88 and 4,565.85 is: 6,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.88 : 7,083.88 = 4,565.85 : x
  2. Step 2: Convert to fraction form
    4,729.88/7,083.88 = 4,565.85/x
  3. Step 3: Cross multiply
    4,729.88x = 7,083.88 × 4,565.85
  4. Step 4: Simplify right side
    4,729.88x = 32,343,929.36
  5. Step 5: Solve for x
    x = 32,343,929.36/4,729.88
  6. Step 6: Final answer
    x = 6,838.22

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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.