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Finding the Fourth Proportional to 4,637.76, 6,400.20 and 2,541.76

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Solution

The fourth proportional to 4,637.76, 6,400.20 and 2,541.76 is: 3,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.76 : 6,400.20 = 2,541.76 : x
  2. Step 2: Convert to fraction form
    4,637.76/6,400.20 = 2,541.76/x
  3. Step 3: Cross multiply
    4,637.76x = 6,400.20 × 2,541.76
  4. Step 4: Simplify right side
    4,637.76x = 16,267,772.35
  5. Step 5: Solve for x
    x = 16,267,772.35/4,637.76
  6. Step 6: Final answer
    x = 3,507.68

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1.5x scale

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.