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Finding the Fourth Proportional to 4,382.76, 6,046.02 and 2,809.68

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Solution

The fourth proportional to 4,382.76, 6,046.02 and 2,809.68 is: 3,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.76 : 6,046.02 = 2,809.68 : x
  2. Step 2: Convert to fraction form
    4,382.76/6,046.02 = 2,809.68/x
  3. Step 3: Cross multiply
    4,382.76x = 6,046.02 × 2,809.68
  4. Step 4: Simplify right side
    4,382.76x = 16,987,381.47
  5. Step 5: Solve for x
    x = 16,987,381.47/4,382.76
  6. Step 6: Final answer
    x = 3,875.96

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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.