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Finding the Fourth Proportional to 5,591.02, 8,386.50 and 1,431.02

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Solution

The fourth proportional to 5,591.02, 8,386.50 and 1,431.02 is: 2,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.02 : 8,386.50 = 1,431.02 : x
  2. Step 2: Convert to fraction form
    5,591.02/8,386.50 = 1,431.02/x
  3. Step 3: Cross multiply
    5,591.02x = 8,386.50 × 1,431.02
  4. Step 4: Simplify right side
    5,591.02x = 12,001,249.23
  5. Step 5: Solve for x
    x = 12,001,249.23/5,591.02
  6. Step 6: Final answer
    x = 2,146.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.