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Finding the Fourth Proportional to 4,780.65, 6,597.91 and 3,661.17

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Solution

The fourth proportional to 4,780.65, 6,597.91 and 3,661.17 is: 5,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.65 : 6,597.91 = 3,661.17 : x
  2. Step 2: Convert to fraction form
    4,780.65/6,597.91 = 3,661.17/x
  3. Step 3: Cross multiply
    4,780.65x = 6,597.91 × 3,661.17
  4. Step 4: Simplify right side
    4,780.65x = 24,156,085.06
  5. Step 5: Solve for x
    x = 24,156,085.06/4,780.65
  6. Step 6: Final answer
    x = 5,052.89

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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.