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Finding the Fourth Proportional to 5,715.84, 8,566.92 and 2,943.84

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Solution

The fourth proportional to 5,715.84, 8,566.92 and 2,943.84 is: 4,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.84 : 8,566.92 = 2,943.84 : x
  2. Step 2: Convert to fraction form
    5,715.84/8,566.92 = 2,943.84/x
  3. Step 3: Cross multiply
    5,715.84x = 8,566.92 × 2,943.84
  4. Step 4: Simplify right side
    5,715.84x = 25,219,641.77
  5. Step 5: Solve for x
    x = 25,219,641.77/5,715.84
  6. Step 6: Final answer
    x = 4,412.24

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1.5x scale

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.