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Finding the Fourth Proportional to 4,156.64, 5,738.01 and 2,585.78

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Solution

The fourth proportional to 4,156.64, 5,738.01 and 2,585.78 is: 3,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.64 : 5,738.01 = 2,585.78 : x
  2. Step 2: Convert to fraction form
    4,156.64/5,738.01 = 2,585.78/x
  3. Step 3: Cross multiply
    4,156.64x = 5,738.01 × 2,585.78
  4. Step 4: Simplify right side
    4,156.64x = 14,837,231.50
  5. Step 5: Solve for x
    x = 14,837,231.50/4,156.64
  6. Step 6: Final answer
    x = 3,569.53

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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.