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Finding the Fourth Proportional to 5,816.76, 7,974.80 and 5,711.46

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Solution

The fourth proportional to 5,816.76, 7,974.80 and 5,711.46 is: 7,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.76 : 7,974.80 = 5,711.46 : x
  2. Step 2: Convert to fraction form
    5,816.76/7,974.80 = 5,711.46/x
  3. Step 3: Cross multiply
    5,816.76x = 7,974.80 × 5,711.46
  4. Step 4: Simplify right side
    5,816.76x = 45,547,722.65
  5. Step 5: Solve for x
    x = 45,547,722.65/5,816.76
  6. Step 6: Final answer
    x = 7,830.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.