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Finding the Fourth Proportional to 3,760.79, 5,643.11 and 1,541.24

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Solution

The fourth proportional to 3,760.79, 5,643.11 and 1,541.24 is: 2,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.79 : 5,643.11 = 1,541.24 : x
  2. Step 2: Convert to fraction form
    3,760.79/5,643.11 = 1,541.24/x
  3. Step 3: Cross multiply
    3,760.79x = 5,643.11 × 1,541.24
  4. Step 4: Simplify right side
    3,760.79x = 8,697,386.86
  5. Step 5: Solve for x
    x = 8,697,386.86/3,760.79
  6. Step 6: Final answer
    x = 2,312.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.