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Finding the Fourth Proportional to 4,972.34, 7,454.04 and 1,850.16

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Solution

The fourth proportional to 4,972.34, 7,454.04 and 1,850.16 is: 2,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.34 : 7,454.04 = 1,850.16 : x
  2. Step 2: Convert to fraction form
    4,972.34/7,454.04 = 1,850.16/x
  3. Step 3: Cross multiply
    4,972.34x = 7,454.04 × 1,850.16
  4. Step 4: Simplify right side
    4,972.34x = 13,791,156.14
  5. Step 5: Solve for x
    x = 13,791,156.14/4,972.34
  6. Step 6: Final answer
    x = 2,773.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.