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Finding the Fourth Proportional to 3,908.96, 5,864.52 and 1,602.08

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Solution

The fourth proportional to 3,908.96, 5,864.52 and 1,602.08 is: 2,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.96 : 5,864.52 = 1,602.08 : x
  2. Step 2: Convert to fraction form
    3,908.96/5,864.52 = 1,602.08/x
  3. Step 3: Cross multiply
    3,908.96x = 5,864.52 × 1,602.08
  4. Step 4: Simplify right side
    3,908.96x = 9,395,430.20
  5. Step 5: Solve for x
    x = 9,395,430.20/3,908.96
  6. Step 6: Final answer
    x = 2,403.56

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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.