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Finding the Fourth Proportional to 5,199, 7,176.78 and 3,707.16

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Solution

The fourth proportional to 5,199, 7,176.78 and 3,707.16 is: 5,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199 : 7,176.78 = 3,707.16 : x
  2. Step 2: Convert to fraction form
    5,199/7,176.78 = 3,707.16/x
  3. Step 3: Cross multiply
    5,199x = 7,176.78 × 3,707.16
  4. Step 4: Simplify right side
    5,199x = 26,605,471.74
  5. Step 5: Solve for x
    x = 26,605,471.74/5,199
  6. Step 6: Final answer
    x = 5,117.42

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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.