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Finding the Fourth Proportional to 4,308.74, 6,463.50 and 1,347.02

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Solution

The fourth proportional to 4,308.74, 6,463.50 and 1,347.02 is: 2,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.74 : 6,463.50 = 1,347.02 : x
  2. Step 2: Convert to fraction form
    4,308.74/6,463.50 = 1,347.02/x
  3. Step 3: Cross multiply
    4,308.74x = 6,463.50 × 1,347.02
  4. Step 4: Simplify right side
    4,308.74x = 8,706,463.77
  5. Step 5: Solve for x
    x = 8,706,463.77/4,308.74
  6. Step 6: Final answer
    x = 2,020.65

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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.