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Finding the Fourth Proportional to 5,582.76, 7,704.28 and 3,064.50

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Solution

The fourth proportional to 5,582.76, 7,704.28 and 3,064.50 is: 4,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.76 : 7,704.28 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    5,582.76/7,704.28 = 3,064.50/x
  3. Step 3: Cross multiply
    5,582.76x = 7,704.28 × 3,064.50
  4. Step 4: Simplify right side
    5,582.76x = 23,609,750.74
  5. Step 5: Solve for x
    x = 23,609,750.74/5,582.76
  6. Step 6: Final answer
    x = 4,229.05

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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.