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Finding the Fourth Proportional to 6,290.22, 8,671.14 and 4,051.65

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Solution

The fourth proportional to 6,290.22, 8,671.14 and 4,051.65 is: 5,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.22 : 8,671.14 = 4,051.65 : x
  2. Step 2: Convert to fraction form
    6,290.22/8,671.14 = 4,051.65/x
  3. Step 3: Cross multiply
    6,290.22x = 8,671.14 × 4,051.65
  4. Step 4: Simplify right side
    6,290.22x = 35,132,424.38
  5. Step 5: Solve for x
    x = 35,132,424.38/6,290.22
  6. Step 6: Final answer
    x = 5,585.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.