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Finding the Fourth Proportional to 5,138.29, 7,707.65 and 1,628.22

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Solution

The fourth proportional to 5,138.29, 7,707.65 and 1,628.22 is: 2,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.29 : 7,707.65 = 1,628.22 : x
  2. Step 2: Convert to fraction form
    5,138.29/7,707.65 = 1,628.22/x
  3. Step 3: Cross multiply
    5,138.29x = 7,707.65 × 1,628.22
  4. Step 4: Simplify right side
    5,138.29x = 12,549,734.16
  5. Step 5: Solve for x
    x = 12,549,734.16/5,138.29
  6. Step 6: Final answer
    x = 2,442.40

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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.