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Finding the Fourth Proportional to 5,306.60, 7,320.84 and 3,313.70

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Solution

The fourth proportional to 5,306.60, 7,320.84 and 3,313.70 is: 4,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.60 : 7,320.84 = 3,313.70 : x
  2. Step 2: Convert to fraction form
    5,306.60/7,320.84 = 3,313.70/x
  3. Step 3: Cross multiply
    5,306.60x = 7,320.84 × 3,313.70
  4. Step 4: Simplify right side
    5,306.60x = 24,259,067.51
  5. Step 5: Solve for x
    x = 24,259,067.51/5,306.60
  6. Step 6: Final answer
    x = 4,571.49

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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.