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Finding the Fourth Proportional to 5,541.95, 8,302.26 and 3,462.77

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Solution

The fourth proportional to 5,541.95, 8,302.26 and 3,462.77 is: 5,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.95 : 8,302.26 = 3,462.77 : x
  2. Step 2: Convert to fraction form
    5,541.95/8,302.26 = 3,462.77/x
  3. Step 3: Cross multiply
    5,541.95x = 8,302.26 × 3,462.77
  4. Step 4: Simplify right side
    5,541.95x = 28,748,816.86
  5. Step 5: Solve for x
    x = 28,748,816.86/5,541.95
  6. Step 6: Final answer
    x = 5,187.49

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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.