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Finding the Fourth Proportional to 6,160, 8,500.80 and 3,365.52

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Solution

The fourth proportional to 6,160, 8,500.80 and 3,365.52 is: 4,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 8,500.80 = 3,365.52 : x
  2. Step 2: Convert to fraction form
    6,160/8,500.80 = 3,365.52/x
  3. Step 3: Cross multiply
    6,160x = 8,500.80 × 3,365.52
  4. Step 4: Simplify right side
    6,160x = 28,609,612.42
  5. Step 5: Solve for x
    x = 28,609,612.42/6,160
  6. Step 6: Final answer
    x = 4,644.42

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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.