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Finding the Fourth Proportional to 4,278.20, 6,417.30 and 4,205.30

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Solution

The fourth proportional to 4,278.20, 6,417.30 and 4,205.30 is: 6,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.20 : 6,417.30 = 4,205.30 : x
  2. Step 2: Convert to fraction form
    4,278.20/6,417.30 = 4,205.30/x
  3. Step 3: Cross multiply
    4,278.20x = 6,417.30 × 4,205.30
  4. Step 4: Simplify right side
    4,278.20x = 26,986,671.69
  5. Step 5: Solve for x
    x = 26,986,671.69/4,278.20
  6. Step 6: Final answer
    x = 6,307.95

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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.