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Finding the Fourth Proportional to 5,111.94, 7,655.76 and 3,158.22

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Solution

The fourth proportional to 5,111.94, 7,655.76 and 3,158.22 is: 4,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.94 : 7,655.76 = 3,158.22 : x
  2. Step 2: Convert to fraction form
    5,111.94/7,655.76 = 3,158.22/x
  3. Step 3: Cross multiply
    5,111.94x = 7,655.76 × 3,158.22
  4. Step 4: Simplify right side
    5,111.94x = 24,178,574.35
  5. Step 5: Solve for x
    x = 24,178,574.35/5,111.94
  6. Step 6: Final answer
    x = 4,729.82

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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.