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Finding the Fourth Proportional to 4,707.57, 6,496.67 and 2,818.80

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Solution

The fourth proportional to 4,707.57, 6,496.67 and 2,818.80 is: 3,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.57 : 6,496.67 = 2,818.80 : x
  2. Step 2: Convert to fraction form
    4,707.57/6,496.67 = 2,818.80/x
  3. Step 3: Cross multiply
    4,707.57x = 6,496.67 × 2,818.80
  4. Step 4: Simplify right side
    4,707.57x = 18,312,799.30
  5. Step 5: Solve for x
    x = 18,312,799.30/4,707.57
  6. Step 6: Final answer
    x = 3,890.07

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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.