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Finding the Fourth Proportional to 3,752.10, 5,628.15 and 3,023.10

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Solution

The fourth proportional to 3,752.10, 5,628.15 and 3,023.10 is: 4,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.10 : 5,628.15 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    3,752.10/5,628.15 = 3,023.10/x
  3. Step 3: Cross multiply
    3,752.10x = 5,628.15 × 3,023.10
  4. Step 4: Simplify right side
    3,752.10x = 17,014,460.27
  5. Step 5: Solve for x
    x = 17,014,460.27/3,752.10
  6. Step 6: Final answer
    x = 4,534.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.