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Finding the Fourth Proportional to 2,972.36, 4,463.04 and 2,361.02

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Solution

The fourth proportional to 2,972.36, 4,463.04 and 2,361.02 is: 3,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.36 : 4,463.04 = 2,361.02 : x
  2. Step 2: Convert to fraction form
    2,972.36/4,463.04 = 2,361.02/x
  3. Step 3: Cross multiply
    2,972.36x = 4,463.04 × 2,361.02
  4. Step 4: Simplify right side
    2,972.36x = 10,537,337.86
  5. Step 5: Solve for x
    x = 10,537,337.86/2,972.36
  6. Step 6: Final answer
    x = 3,545.11

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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.