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Finding the Fourth Proportional to 3,739.60, 5,603.10 and 2,956.60

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Solution

The fourth proportional to 3,739.60, 5,603.10 and 2,956.60 is: 4,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.60 : 5,603.10 = 2,956.60 : x
  2. Step 2: Convert to fraction form
    3,739.60/5,603.10 = 2,956.60/x
  3. Step 3: Cross multiply
    3,739.60x = 5,603.10 × 2,956.60
  4. Step 4: Simplify right side
    3,739.60x = 16,566,125.46
  5. Step 5: Solve for x
    x = 16,566,125.46/3,739.60
  6. Step 6: Final answer
    x = 4,429.92

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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.