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Finding the Fourth Proportional to 2,886.68, 4,337.34 and 2,806.36

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Solution

The fourth proportional to 2,886.68, 4,337.34 and 2,806.36 is: 4,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.68 : 4,337.34 = 2,806.36 : x
  2. Step 2: Convert to fraction form
    2,886.68/4,337.34 = 2,806.36/x
  3. Step 3: Cross multiply
    2,886.68x = 4,337.34 × 2,806.36
  4. Step 4: Simplify right side
    2,886.68x = 12,172,137.48
  5. Step 5: Solve for x
    x = 12,172,137.48/2,886.68
  6. Step 6: Final answer
    x = 4,216.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.