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Finding the Fourth Proportional to 5,672.80, 8,462.03 and 5,582.08

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Solution

The fourth proportional to 5,672.80, 8,462.03 and 5,582.08 is: 8,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.80 : 8,462.03 = 5,582.08 : x
  2. Step 2: Convert to fraction form
    5,672.80/8,462.03 = 5,582.08/x
  3. Step 3: Cross multiply
    5,672.80x = 8,462.03 × 5,582.08
  4. Step 4: Simplify right side
    5,672.80x = 47,235,728.42
  5. Step 5: Solve for x
    x = 47,235,728.42/5,672.80
  6. Step 6: Final answer
    x = 8,326.70

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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.