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Finding the Fourth Proportional to 4,240.69, 5,852.16 and 2,377.69

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Solution

The fourth proportional to 4,240.69, 5,852.16 and 2,377.69 is: 3,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.69 : 5,852.16 = 2,377.69 : x
  2. Step 2: Convert to fraction form
    4,240.69/5,852.16 = 2,377.69/x
  3. Step 3: Cross multiply
    4,240.69x = 5,852.16 × 2,377.69
  4. Step 4: Simplify right side
    4,240.69x = 13,914,607.68
  5. Step 5: Solve for x
    x = 13,914,607.68/4,240.69
  6. Step 6: Final answer
    x = 3,281.22

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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.