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Finding the Fourth Proportional to 4,566.76, 6,302.13 and 2,470.88

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Solution

The fourth proportional to 4,566.76, 6,302.13 and 2,470.88 is: 3,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.76 : 6,302.13 = 2,470.88 : x
  2. Step 2: Convert to fraction form
    4,566.76/6,302.13 = 2,470.88/x
  3. Step 3: Cross multiply
    4,566.76x = 6,302.13 × 2,470.88
  4. Step 4: Simplify right side
    4,566.76x = 15,571,806.97
  5. Step 5: Solve for x
    x = 15,571,806.97/4,566.76
  6. Step 6: Final answer
    x = 3,409.82

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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.