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Finding the Fourth Proportional to 4,509.38, 6,215.51 and 3,016.76

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Solution

The fourth proportional to 4,509.38, 6,215.51 and 3,016.76 is: 4,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.38 : 6,215.51 = 3,016.76 : x
  2. Step 2: Convert to fraction form
    4,509.38/6,215.51 = 3,016.76/x
  3. Step 3: Cross multiply
    4,509.38x = 6,215.51 × 3,016.76
  4. Step 4: Simplify right side
    4,509.38x = 18,750,701.95
  5. Step 5: Solve for x
    x = 18,750,701.95/4,509.38
  6. Step 6: Final answer
    x = 4,158.16

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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.