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Finding the Fourth Proportional to 5,190.84, 7,162.38 and 3,095.16

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Solution

The fourth proportional to 5,190.84, 7,162.38 and 3,095.16 is: 4,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.84 : 7,162.38 = 3,095.16 : x
  2. Step 2: Convert to fraction form
    5,190.84/7,162.38 = 3,095.16/x
  3. Step 3: Cross multiply
    5,190.84x = 7,162.38 × 3,095.16
  4. Step 4: Simplify right side
    5,190.84x = 22,168,712.08
  5. Step 5: Solve for x
    x = 22,168,712.08/5,190.84
  6. Step 6: Final answer
    x = 4,270.74

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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.