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Finding the Fourth Proportional to 4,575.92, 6,830.73 and 4,233.52

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Solution

The fourth proportional to 4,575.92, 6,830.73 and 4,233.52 is: 6,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.92 : 6,830.73 = 4,233.52 : x
  2. Step 2: Convert to fraction form
    4,575.92/6,830.73 = 4,233.52/x
  3. Step 3: Cross multiply
    4,575.92x = 6,830.73 × 4,233.52
  4. Step 4: Simplify right side
    4,575.92x = 28,918,002.19
  5. Step 5: Solve for x
    x = 28,918,002.19/4,575.92
  6. Step 6: Final answer
    x = 6,319.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.