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Finding the Fourth Proportional to 3,703.39, 5,106.51 and 2,821.30

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Solution

The fourth proportional to 3,703.39, 5,106.51 and 2,821.30 is: 3,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.39 : 5,106.51 = 2,821.30 : x
  2. Step 2: Convert to fraction form
    3,703.39/5,106.51 = 2,821.30/x
  3. Step 3: Cross multiply
    3,703.39x = 5,106.51 × 2,821.30
  4. Step 4: Simplify right side
    3,703.39x = 14,406,983.90
  5. Step 5: Solve for x
    x = 14,406,983.90/3,703.39
  6. Step 6: Final answer
    x = 3,890.22

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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.