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Finding the Fourth Proportional to 3,253.60, 4,488 and 2,402.01

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Solution

The fourth proportional to 3,253.60, 4,488 and 2,402.01 is: 3,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.60 : 4,488 = 2,402.01 : x
  2. Step 2: Convert to fraction form
    3,253.60/4,488 = 2,402.01/x
  3. Step 3: Cross multiply
    3,253.60x = 4,488 × 2,402.01
  4. Step 4: Simplify right side
    3,253.60x = 10,780,220.88
  5. Step 5: Solve for x
    x = 10,780,220.88/3,253.60
  6. Step 6: Final answer
    x = 3,313.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.