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Finding the Fourth Proportional to 4,397.86, 6,594 and 1,435.24

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Solution

The fourth proportional to 4,397.86, 6,594 and 1,435.24 is: 2,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.86 : 6,594 = 1,435.24 : x
  2. Step 2: Convert to fraction form
    4,397.86/6,594 = 1,435.24/x
  3. Step 3: Cross multiply
    4,397.86x = 6,594 × 1,435.24
  4. Step 4: Simplify right side
    4,397.86x = 9,463,972.56
  5. Step 5: Solve for x
    x = 9,463,972.56/4,397.86
  6. Step 6: Final answer
    x = 2,151.95

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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.