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Finding the Fourth Proportional to 4,356.22, 6,011.61 and 2,366.80

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Solution

The fourth proportional to 4,356.22, 6,011.61 and 2,366.80 is: 3,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.22 : 6,011.61 = 2,366.80 : x
  2. Step 2: Convert to fraction form
    4,356.22/6,011.61 = 2,366.80/x
  3. Step 3: Cross multiply
    4,356.22x = 6,011.61 × 2,366.80
  4. Step 4: Simplify right side
    4,356.22x = 14,228,278.55
  5. Step 5: Solve for x
    x = 14,228,278.55/4,356.22
  6. Step 6: Final answer
    x = 3,266.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.