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Finding the Fourth Proportional to 3,710.25, 5,120.15 and 2,313

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Solution

The fourth proportional to 3,710.25, 5,120.15 and 2,313 is: 3,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.25 : 5,120.15 = 2,313 : x
  2. Step 2: Convert to fraction form
    3,710.25/5,120.15 = 2,313/x
  3. Step 3: Cross multiply
    3,710.25x = 5,120.15 × 2,313
  4. Step 4: Simplify right side
    3,710.25x = 11,842,895.39
  5. Step 5: Solve for x
    x = 11,842,895.39/3,710.25
  6. Step 6: Final answer
    x = 3,191.94

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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.