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Finding the Fourth Proportional to 4,237.04, 5,847.04 and 2,374

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Solution

The fourth proportional to 4,237.04, 5,847.04 and 2,374 is: 3,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.04 : 5,847.04 = 2,374 : x
  2. Step 2: Convert to fraction form
    4,237.04/5,847.04 = 2,374/x
  3. Step 3: Cross multiply
    4,237.04x = 5,847.04 × 2,374
  4. Step 4: Simplify right side
    4,237.04x = 13,880,872.96
  5. Step 5: Solve for x
    x = 13,880,872.96/4,237.04
  6. Step 6: Final answer
    x = 3,276.08

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Why These Related Problems?

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