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Finding the Fourth Proportional to 5,106.65, 7,046.75 and 2,868.35

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Solution

The fourth proportional to 5,106.65, 7,046.75 and 2,868.35 is: 3,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.65 : 7,046.75 = 2,868.35 : x
  2. Step 2: Convert to fraction form
    5,106.65/7,046.75 = 2,868.35/x
  3. Step 3: Cross multiply
    5,106.65x = 7,046.75 × 2,868.35
  4. Step 4: Simplify right side
    5,106.65x = 20,212,531.02
  5. Step 5: Solve for x
    x = 20,212,531.02/5,106.65
  6. Step 6: Final answer
    x = 3,958.08

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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.