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Finding the Fourth Proportional to 3,784,230.32, 5,671,416.84 and 1,537,742

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Solution

The fourth proportional to 3,784,230.32, 5,671,416.84 and 1,537,742 is: 2,304,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,230.32 : 5,671,416.84 = 1,537,742 : x
  2. Step 2: Convert to fraction form
    3,784,230.32/5,671,416.84 = 1,537,742/x
  3. Step 3: Cross multiply
    3,784,230.32x = 5,671,416.84 × 1,537,742
  4. Step 4: Simplify right side
    3,784,230.32x = 8,721,175,874,375.28
  5. Step 5: Solve for x
    x = 8,721,175,874,375.28/3,784,230.32
  6. Step 6: Final answer
    x = 2,304,610.22

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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.