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Finding the Fourth Proportional to 4,694.29, 6,478.19 and 2,598.42

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Solution

The fourth proportional to 4,694.29, 6,478.19 and 2,598.42 is: 3,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.29 : 6,478.19 = 2,598.42 : x
  2. Step 2: Convert to fraction form
    4,694.29/6,478.19 = 2,598.42/x
  3. Step 3: Cross multiply
    4,694.29x = 6,478.19 × 2,598.42
  4. Step 4: Simplify right side
    4,694.29x = 16,833,030.92
  5. Step 5: Solve for x
    x = 16,833,030.92/4,694.29
  6. Step 6: Final answer
    x = 3,585.85

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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.