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Finding the Fourth Proportional to 3,645, 5,030.10 and 2,247.75

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Solution

The fourth proportional to 3,645, 5,030.10 and 2,247.75 is: 3,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645 : 5,030.10 = 2,247.75 : x
  2. Step 2: Convert to fraction form
    3,645/5,030.10 = 2,247.75/x
  3. Step 3: Cross multiply
    3,645x = 5,030.10 × 2,247.75
  4. Step 4: Simplify right side
    3,645x = 11,306,407.28
  5. Step 5: Solve for x
    x = 11,306,407.28/3,645
  6. Step 6: Final answer
    x = 3,101.90

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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.