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Finding the Fourth Proportional to 5,582.54, 7,703.76 and 3,064.64

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Solution

The fourth proportional to 5,582.54, 7,703.76 and 3,064.64 is: 4,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.54 : 7,703.76 = 3,064.64 : x
  2. Step 2: Convert to fraction form
    5,582.54/7,703.76 = 3,064.64/x
  3. Step 3: Cross multiply
    5,582.54x = 7,703.76 × 3,064.64
  4. Step 4: Simplify right side
    5,582.54x = 23,609,251.05
  5. Step 5: Solve for x
    x = 23,609,251.05/5,582.54
  6. Step 6: Final answer
    x = 4,229.12

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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.