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Finding the Fourth Proportional to 6,159, 8,499.78 and 3,506.52

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Solution

The fourth proportional to 6,159, 8,499.78 and 3,506.52 is: 4,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159 : 8,499.78 = 3,506.52 : x
  2. Step 2: Convert to fraction form
    6,159/8,499.78 = 3,506.52/x
  3. Step 3: Cross multiply
    6,159x = 8,499.78 × 3,506.52
  4. Step 4: Simplify right side
    6,159x = 29,804,648.57
  5. Step 5: Solve for x
    x = 29,804,648.57/6,159
  6. Step 6: Final answer
    x = 4,839.20

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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.