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Finding the Fourth Proportional to 5,827.71, 8,742.95 and 2,541.39

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Solution

The fourth proportional to 5,827.71, 8,742.95 and 2,541.39 is: 3,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.71 : 8,742.95 = 2,541.39 : x
  2. Step 2: Convert to fraction form
    5,827.71/8,742.95 = 2,541.39/x
  3. Step 3: Cross multiply
    5,827.71x = 8,742.95 × 2,541.39
  4. Step 4: Simplify right side
    5,827.71x = 22,219,232.99
  5. Step 5: Solve for x
    x = 22,219,232.99/5,827.71
  6. Step 6: Final answer
    x = 3,812.69

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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.