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Finding the Fourth Proportional to 4,291.50, 6,401.81 and 3,637.47

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Solution

The fourth proportional to 4,291.50, 6,401.81 and 3,637.47 is: 5,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.50 : 6,401.81 = 3,637.47 : x
  2. Step 2: Convert to fraction form
    4,291.50/6,401.81 = 3,637.47/x
  3. Step 3: Cross multiply
    4,291.50x = 6,401.81 × 3,637.47
  4. Step 4: Simplify right side
    4,291.50x = 23,286,373.63
  5. Step 5: Solve for x
    x = 23,286,373.63/4,291.50
  6. Step 6: Final answer
    x = 5,426.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.