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Finding the Fourth Proportional to 5,582.64, 7,704.16 and 3,346.86

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Solution

The fourth proportional to 5,582.64, 7,704.16 and 3,346.86 is: 4,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.64 : 7,704.16 = 3,346.86 : x
  2. Step 2: Convert to fraction form
    5,582.64/7,704.16 = 3,346.86/x
  3. Step 3: Cross multiply
    5,582.64x = 7,704.16 × 3,346.86
  4. Step 4: Simplify right side
    5,582.64x = 25,784,744.94
  5. Step 5: Solve for x
    x = 25,784,744.94/5,582.64
  6. Step 6: Final answer
    x = 4,618.74

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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.