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Finding the Fourth Proportional to 5,184.68, 7,152.81 and 3,191.77

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Solution

The fourth proportional to 5,184.68, 7,152.81 and 3,191.77 is: 4,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.68 : 7,152.81 = 3,191.77 : x
  2. Step 2: Convert to fraction form
    5,184.68/7,152.81 = 3,191.77/x
  3. Step 3: Cross multiply
    5,184.68x = 7,152.81 × 3,191.77
  4. Step 4: Simplify right side
    5,184.68x = 22,830,106.49
  5. Step 5: Solve for x
    x = 22,830,106.49/5,184.68
  6. Step 6: Final answer
    x = 4,403.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.