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Finding the Fourth Proportional to 5,184.68, 7,732.09 and 4,834.76

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Solution

The fourth proportional to 5,184.68, 7,732.09 and 4,834.76 is: 7,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.68 : 7,732.09 = 4,834.76 : x
  2. Step 2: Convert to fraction form
    5,184.68/7,732.09 = 4,834.76/x
  3. Step 3: Cross multiply
    5,184.68x = 7,732.09 × 4,834.76
  4. Step 4: Simplify right side
    5,184.68x = 37,382,799.45
  5. Step 5: Solve for x
    x = 37,382,799.45/5,184.68
  6. Step 6: Final answer
    x = 7,210.24

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1.5x scale

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.