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Finding the Fourth Proportional to 6,264.58, 8,646.87 and 3,613.05

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Solution

The fourth proportional to 6,264.58, 8,646.87 and 3,613.05 is: 4,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.58 : 8,646.87 = 3,613.05 : x
  2. Step 2: Convert to fraction form
    6,264.58/8,646.87 = 3,613.05/x
  3. Step 3: Cross multiply
    6,264.58x = 8,646.87 × 3,613.05
  4. Step 4: Simplify right side
    6,264.58x = 31,241,573.65
  5. Step 5: Solve for x
    x = 31,241,573.65/6,264.58
  6. Step 6: Final answer
    x = 4,987.02

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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.