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Finding the Fourth Proportional to 4,709.54, 6,499.56 and 2,585.48

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Solution

The fourth proportional to 4,709.54, 6,499.56 and 2,585.48 is: 3,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.54 : 6,499.56 = 2,585.48 : x
  2. Step 2: Convert to fraction form
    4,709.54/6,499.56 = 2,585.48/x
  3. Step 3: Cross multiply
    4,709.54x = 6,499.56 × 2,585.48
  4. Step 4: Simplify right side
    4,709.54x = 16,804,449.89
  5. Step 5: Solve for x
    x = 16,804,449.89/4,709.54
  6. Step 6: Final answer
    x = 3,568.18

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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.