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Finding the Fourth Proportional to 4,468.95, 6,706.80 and 2,279.52

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Solution

The fourth proportional to 4,468.95, 6,706.80 and 2,279.52 is: 3,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.95 : 6,706.80 = 2,279.52 : x
  2. Step 2: Convert to fraction form
    4,468.95/6,706.80 = 2,279.52/x
  3. Step 3: Cross multiply
    4,468.95x = 6,706.80 × 2,279.52
  4. Step 4: Simplify right side
    4,468.95x = 15,288,284.74
  5. Step 5: Solve for x
    x = 15,288,284.74/4,468.95
  6. Step 6: Final answer
    x = 3,421.00

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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.