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Finding the Fourth Proportional to 3,655.80, 5,044.68 and 2,083.50

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Solution

The fourth proportional to 3,655.80, 5,044.68 and 2,083.50 is: 2,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.80 : 5,044.68 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    3,655.80/5,044.68 = 2,083.50/x
  3. Step 3: Cross multiply
    3,655.80x = 5,044.68 × 2,083.50
  4. Step 4: Simplify right side
    3,655.80x = 10,510,590.78
  5. Step 5: Solve for x
    x = 10,510,590.78/3,655.80
  6. Step 6: Final answer
    x = 2,875.05

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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.