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Finding the Fourth Proportional to 4,768.26, 6,565.20 and 4,330.86

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Solution

The fourth proportional to 4,768.26, 6,565.20 and 4,330.86 is: 5,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.26 : 6,565.20 = 4,330.86 : x
  2. Step 2: Convert to fraction form
    4,768.26/6,565.20 = 4,330.86/x
  3. Step 3: Cross multiply
    4,768.26x = 6,565.20 × 4,330.86
  4. Step 4: Simplify right side
    4,768.26x = 28,432,962.07
  5. Step 5: Solve for x
    x = 28,432,962.07/4,768.26
  6. Step 6: Final answer
    x = 5,962.96

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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.