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Finding the Fourth Proportional to 4,694.48, 6,478.16 and 2,598.56

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Solution

The fourth proportional to 4,694.48, 6,478.16 and 2,598.56 is: 3,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.48 : 6,478.16 = 2,598.56 : x
  2. Step 2: Convert to fraction form
    4,694.48/6,478.16 = 2,598.56/x
  3. Step 3: Cross multiply
    4,694.48x = 6,478.16 × 2,598.56
  4. Step 4: Simplify right side
    4,694.48x = 16,833,887.45
  5. Step 5: Solve for x
    x = 16,833,887.45/4,694.48
  6. Step 6: Final answer
    x = 3,585.89

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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.