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Finding the Fourth Proportional to 4,266.85, 5,888.06 and 2,378.64

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Solution

The fourth proportional to 4,266.85, 5,888.06 and 2,378.64 is: 3,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.85 : 5,888.06 = 2,378.64 : x
  2. Step 2: Convert to fraction form
    4,266.85/5,888.06 = 2,378.64/x
  3. Step 3: Cross multiply
    4,266.85x = 5,888.06 × 2,378.64
  4. Step 4: Simplify right side
    4,266.85x = 14,005,533.70
  5. Step 5: Solve for x
    x = 14,005,533.70/4,266.85
  6. Step 6: Final answer
    x = 3,282.41

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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.