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Finding the Fourth Proportional to 4,266.65, 5,887.80 and 2,378.13

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Solution

The fourth proportional to 4,266.65, 5,887.80 and 2,378.13 is: 3,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.65 : 5,887.80 = 2,378.13 : x
  2. Step 2: Convert to fraction form
    4,266.65/5,887.80 = 2,378.13/x
  3. Step 3: Cross multiply
    4,266.65x = 5,887.80 × 2,378.13
  4. Step 4: Simplify right side
    4,266.65x = 14,001,953.81
  5. Step 5: Solve for x
    x = 14,001,953.81/4,266.65
  6. Step 6: Final answer
    x = 3,281.72

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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.