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Finding the Fourth Proportional to 4,152.65, 5,713.49 and 3,152.10

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Solution

The fourth proportional to 4,152.65, 5,713.49 and 3,152.10 is: 4,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.65 : 5,713.49 = 3,152.10 : x
  2. Step 2: Convert to fraction form
    4,152.65/5,713.49 = 3,152.10/x
  3. Step 3: Cross multiply
    4,152.65x = 5,713.49 × 3,152.10
  4. Step 4: Simplify right side
    4,152.65x = 18,009,491.83
  5. Step 5: Solve for x
    x = 18,009,491.83/4,152.65
  6. Step 6: Final answer
    x = 4,336.87

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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.