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Finding the Fourth Proportional to 4,236.49, 6,319.49 and 3,547.59

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Solution

The fourth proportional to 4,236.49, 6,319.49 and 3,547.59 is: 5,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.49 : 6,319.49 = 3,547.59 : x
  2. Step 2: Convert to fraction form
    4,236.49/6,319.49 = 3,547.59/x
  3. Step 3: Cross multiply
    4,236.49x = 6,319.49 × 3,547.59
  4. Step 4: Simplify right side
    4,236.49x = 22,418,959.53
  5. Step 5: Solve for x
    x = 22,418,959.53/4,236.49
  6. Step 6: Final answer
    x = 5,291.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.