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Finding the Fourth Proportional to 3,710.48, 5,120.16 and 2,117.12

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Solution

The fourth proportional to 3,710.48, 5,120.16 and 2,117.12 is: 2,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.48 : 5,120.16 = 2,117.12 : x
  2. Step 2: Convert to fraction form
    3,710.48/5,120.16 = 2,117.12/x
  3. Step 3: Cross multiply
    3,710.48x = 5,120.16 × 2,117.12
  4. Step 4: Simplify right side
    3,710.48x = 10,839,993.14
  5. Step 5: Solve for x
    x = 10,839,993.14/3,710.48
  6. Step 6: Final answer
    x = 2,921.45

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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.