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Finding the Fourth Proportional to 4,694.34, 6,478.56 and 2,598.78

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Solution

The fourth proportional to 4,694.34, 6,478.56 and 2,598.78 is: 3,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.34 : 6,478.56 = 2,598.78 : x
  2. Step 2: Convert to fraction form
    4,694.34/6,478.56 = 2,598.78/x
  3. Step 3: Cross multiply
    4,694.34x = 6,478.56 × 2,598.78
  4. Step 4: Simplify right side
    4,694.34x = 16,836,352.16
  5. Step 5: Solve for x
    x = 16,836,352.16/4,694.34
  6. Step 6: Final answer
    x = 3,586.52

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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.