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Finding the Fourth Proportional to 4,159.53, 5,737.77 and 2,964.78

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Solution

The fourth proportional to 4,159.53, 5,737.77 and 2,964.78 is: 4,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.53 : 5,737.77 = 2,964.78 : x
  2. Step 2: Convert to fraction form
    4,159.53/5,737.77 = 2,964.78/x
  3. Step 3: Cross multiply
    4,159.53x = 5,737.77 × 2,964.78
  4. Step 4: Simplify right side
    4,159.53x = 17,011,225.74
  5. Step 5: Solve for x
    x = 17,011,225.74/4,159.53
  6. Step 6: Final answer
    x = 4,089.70

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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.