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Finding the Fourth Proportional to 4,909.16, 6,780.54 and 3,580.76

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Solution

The fourth proportional to 4,909.16, 6,780.54 and 3,580.76 is: 4,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.16 : 6,780.54 = 3,580.76 : x
  2. Step 2: Convert to fraction form
    4,909.16/6,780.54 = 3,580.76/x
  3. Step 3: Cross multiply
    4,909.16x = 6,780.54 × 3,580.76
  4. Step 4: Simplify right side
    4,909.16x = 24,279,486.41
  5. Step 5: Solve for x
    x = 24,279,486.41/4,909.16
  6. Step 6: Final answer
    x = 4,945.75

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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.