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Finding the Fourth Proportional to 4,695.32, 6,478.32 and 2,806.13

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Solution

The fourth proportional to 4,695.32, 6,478.32 and 2,806.13 is: 3,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.32 : 6,478.32 = 2,806.13 : x
  2. Step 2: Convert to fraction form
    4,695.32/6,478.32 = 2,806.13/x
  3. Step 3: Cross multiply
    4,695.32x = 6,478.32 × 2,806.13
  4. Step 4: Simplify right side
    4,695.32x = 18,178,975.71
  5. Step 5: Solve for x
    x = 18,178,975.71/4,695.32
  6. Step 6: Final answer
    x = 3,871.73

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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.