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Finding the Fourth Proportional to 6,339.10, 8,746.59 and 3,685.15

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Solution

The fourth proportional to 6,339.10, 8,746.59 and 3,685.15 is: 5,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.10 : 8,746.59 = 3,685.15 : x
  2. Step 2: Convert to fraction form
    6,339.10/8,746.59 = 3,685.15/x
  3. Step 3: Cross multiply
    6,339.10x = 8,746.59 × 3,685.15
  4. Step 4: Simplify right side
    6,339.10x = 32,232,496.14
  5. Step 5: Solve for x
    x = 32,232,496.14/6,339.10
  6. Step 6: Final answer
    x = 5,084.71

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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.