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Finding the Fourth Proportional to 4,877.51, 7,302.02 and 3,633.62

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Solution

The fourth proportional to 4,877.51, 7,302.02 and 3,633.62 is: 5,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.51 : 7,302.02 = 3,633.62 : x
  2. Step 2: Convert to fraction form
    4,877.51/7,302.02 = 3,633.62/x
  3. Step 3: Cross multiply
    4,877.51x = 7,302.02 × 3,633.62
  4. Step 4: Simplify right side
    4,877.51x = 26,532,765.91
  5. Step 5: Solve for x
    x = 26,532,765.91/4,877.51
  6. Step 6: Final answer
    x = 5,439.82

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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.