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Finding the Fourth Proportional to 4,191.93, 5,783.64 and 2,599.74

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Solution

The fourth proportional to 4,191.93, 5,783.64 and 2,599.74 is: 3,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.93 : 5,783.64 = 2,599.74 : x
  2. Step 2: Convert to fraction form
    4,191.93/5,783.64 = 2,599.74/x
  3. Step 3: Cross multiply
    4,191.93x = 5,783.64 × 2,599.74
  4. Step 4: Simplify right side
    4,191.93x = 15,035,960.25
  5. Step 5: Solve for x
    x = 15,035,960.25/4,191.93
  6. Step 6: Final answer
    x = 3,586.88

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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.