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Finding the Fourth Proportional to 3,237.42, 4,465.62 and 2,442

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Solution

The fourth proportional to 3,237.42, 4,465.62 and 2,442 is: 3,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.42 : 4,465.62 = 2,442 : x
  2. Step 2: Convert to fraction form
    3,237.42/4,465.62 = 2,442/x
  3. Step 3: Cross multiply
    3,237.42x = 4,465.62 × 2,442
  4. Step 4: Simplify right side
    3,237.42x = 10,905,044.04
  5. Step 5: Solve for x
    x = 10,905,044.04/3,237.42
  6. Step 6: Final answer
    x = 3,368.44

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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.