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Finding the Fourth Proportional to 4,185.71, 5,776.07 and 2,508.05

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Solution

The fourth proportional to 4,185.71, 5,776.07 and 2,508.05 is: 3,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.71 : 5,776.07 = 2,508.05 : x
  2. Step 2: Convert to fraction form
    4,185.71/5,776.07 = 2,508.05/x
  3. Step 3: Cross multiply
    4,185.71x = 5,776.07 × 2,508.05
  4. Step 4: Simplify right side
    4,185.71x = 14,486,672.36
  5. Step 5: Solve for x
    x = 14,486,672.36/4,185.71
  6. Step 6: Final answer
    x = 3,460.98

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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.