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Finding the Fourth Proportional to 4,480.95, 6,713.37 and 4,217.40

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Solution

The fourth proportional to 4,480.95, 6,713.37 and 4,217.40 is: 6,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.95 : 6,713.37 = 4,217.40 : x
  2. Step 2: Convert to fraction form
    4,480.95/6,713.37 = 4,217.40/x
  3. Step 3: Cross multiply
    4,480.95x = 6,713.37 × 4,217.40
  4. Step 4: Simplify right side
    4,480.95x = 28,312,966.64
  5. Step 5: Solve for x
    x = 28,312,966.64/4,480.95
  6. Step 6: Final answer
    x = 6,318.52

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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.