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Finding the Fourth Proportional to 3,865.16, 5,330 and 3,307.48

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Solution

The fourth proportional to 3,865.16, 5,330 and 3,307.48 is: 4,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.16 : 5,330 = 3,307.48 : x
  2. Step 2: Convert to fraction form
    3,865.16/5,330 = 3,307.48/x
  3. Step 3: Cross multiply
    3,865.16x = 5,330 × 3,307.48
  4. Step 4: Simplify right side
    3,865.16x = 17,628,868.40
  5. Step 5: Solve for x
    x = 17,628,868.40/3,865.16
  6. Step 6: Final answer
    x = 4,560.97

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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.