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Finding the Fourth Proportional to 3,911.04, 5,865.12 and 1,602.72

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Solution

The fourth proportional to 3,911.04, 5,865.12 and 1,602.72 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.04 : 5,865.12 = 1,602.72 : x
  2. Step 2: Convert to fraction form
    3,911.04/5,865.12 = 1,602.72/x
  3. Step 3: Cross multiply
    3,911.04x = 5,865.12 × 1,602.72
  4. Step 4: Simplify right side
    3,911.04x = 9,400,145.13
  5. Step 5: Solve for x
    x = 9,400,145.13/3,911.04
  6. Step 6: Final answer
    x = 2,403.49

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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.