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Finding the Fourth Proportional to 5,991, 8,275.64 and 5,432.08

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Solution

The fourth proportional to 5,991, 8,275.64 and 5,432.08 is: 7,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991 : 8,275.64 = 5,432.08 : x
  2. Step 2: Convert to fraction form
    5,991/8,275.64 = 5,432.08/x
  3. Step 3: Cross multiply
    5,991x = 8,275.64 × 5,432.08
  4. Step 4: Simplify right side
    5,991x = 44,953,938.53
  5. Step 5: Solve for x
    x = 44,953,938.53/5,991
  6. Step 6: Final answer
    x = 7,503.58

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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.