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Finding the Fourth Proportional to 3,646.30, 5,032.54 and 2,053.67

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Solution

The fourth proportional to 3,646.30, 5,032.54 and 2,053.67 is: 2,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.30 : 5,032.54 = 2,053.67 : x
  2. Step 2: Convert to fraction form
    3,646.30/5,032.54 = 2,053.67/x
  3. Step 3: Cross multiply
    3,646.30x = 5,032.54 × 2,053.67
  4. Step 4: Simplify right side
    3,646.30x = 10,335,176.42
  5. Step 5: Solve for x
    x = 10,335,176.42/3,646.30
  6. Step 6: Final answer
    x = 2,834.43

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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.