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Finding the Fourth Proportional to 3,624.96, 5,002.66 and 2,053.20

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Solution

The fourth proportional to 3,624.96, 5,002.66 and 2,053.20 is: 2,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.96 : 5,002.66 = 2,053.20 : x
  2. Step 2: Convert to fraction form
    3,624.96/5,002.66 = 2,053.20/x
  3. Step 3: Cross multiply
    3,624.96x = 5,002.66 × 2,053.20
  4. Step 4: Simplify right side
    3,624.96x = 10,271,461.51
  5. Step 5: Solve for x
    x = 10,271,461.51/3,624.96
  6. Step 6: Final answer
    x = 2,833.54

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