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Finding the Fourth Proportional to 4,637.86, 6,946.43 and 3,594.71

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Solution

The fourth proportional to 4,637.86, 6,946.43 and 3,594.71 is: 5,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.86 : 6,946.43 = 3,594.71 : x
  2. Step 2: Convert to fraction form
    4,637.86/6,946.43 = 3,594.71/x
  3. Step 3: Cross multiply
    4,637.86x = 6,946.43 × 3,594.71
  4. Step 4: Simplify right side
    4,637.86x = 24,970,400.78
  5. Step 5: Solve for x
    x = 24,970,400.78/4,637.86
  6. Step 6: Final answer
    x = 5,384.04

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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.