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Finding the Fourth Proportional to 3,302.20, 4,952.02 and 1,353.72

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Solution

The fourth proportional to 3,302.20, 4,952.02 and 1,353.72 is: 2,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.20 : 4,952.02 = 1,353.72 : x
  2. Step 2: Convert to fraction form
    3,302.20/4,952.02 = 1,353.72/x
  3. Step 3: Cross multiply
    3,302.20x = 4,952.02 × 1,353.72
  4. Step 4: Simplify right side
    3,302.20x = 6,703,648.51
  5. Step 5: Solve for x
    x = 6,703,648.51/3,302.20
  6. Step 6: Final answer
    x = 2,030.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.