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Finding the Fourth Proportional to 6,160.95, 9,238.05 and 3,034.08

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Solution

The fourth proportional to 6,160.95, 9,238.05 and 3,034.08 is: 4,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.95 : 9,238.05 = 3,034.08 : x
  2. Step 2: Convert to fraction form
    6,160.95/9,238.05 = 3,034.08/x
  3. Step 3: Cross multiply
    6,160.95x = 9,238.05 × 3,034.08
  4. Step 4: Simplify right side
    6,160.95x = 28,028,982.74
  5. Step 5: Solve for x
    x = 28,028,982.74/6,160.95
  6. Step 6: Final answer
    x = 4,549.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.