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Finding the Fourth Proportional to 5,742.60, 8,603.10 and 2,959.80

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Solution

The fourth proportional to 5,742.60, 8,603.10 and 2,959.80 is: 4,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.60 : 8,603.10 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    5,742.60/8,603.10 = 2,959.80/x
  3. Step 3: Cross multiply
    5,742.60x = 8,603.10 × 2,959.80
  4. Step 4: Simplify right side
    5,742.60x = 25,463,455.38
  5. Step 5: Solve for x
    x = 25,463,455.38/5,742.60
  6. Step 6: Final answer
    x = 4,434.13

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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.