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Finding the Fourth Proportional to 4,267.74, 6,398.51 and 2,877.63

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Solution

The fourth proportional to 4,267.74, 6,398.51 and 2,877.63 is: 4,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.74 : 6,398.51 = 2,877.63 : x
  2. Step 2: Convert to fraction form
    4,267.74/6,398.51 = 2,877.63/x
  3. Step 3: Cross multiply
    4,267.74x = 6,398.51 × 2,877.63
  4. Step 4: Simplify right side
    4,267.74x = 18,412,522.14
  5. Step 5: Solve for x
    x = 18,412,522.14/4,267.74
  6. Step 6: Final answer
    x = 4,314.35

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