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Finding the Fourth Proportional to 4,868.51, 6,715.31 and 3,102.30

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Solution

The fourth proportional to 4,868.51, 6,715.31 and 3,102.30 is: 4,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.51 : 6,715.31 = 3,102.30 : x
  2. Step 2: Convert to fraction form
    4,868.51/6,715.31 = 3,102.30/x
  3. Step 3: Cross multiply
    4,868.51x = 6,715.31 × 3,102.30
  4. Step 4: Simplify right side
    4,868.51x = 20,832,890.70
  5. Step 5: Solve for x
    x = 20,832,890.70/4,868.51
  6. Step 6: Final answer
    x = 4,279.11

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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.