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Finding the Fourth Proportional to 5,133.32, 7,084.10 and 3,145

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Solution

The fourth proportional to 5,133.32, 7,084.10 and 3,145 is: 4,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.32 : 7,084.10 = 3,145 : x
  2. Step 2: Convert to fraction form
    5,133.32/7,084.10 = 3,145/x
  3. Step 3: Cross multiply
    5,133.32x = 7,084.10 × 3,145
  4. Step 4: Simplify right side
    5,133.32x = 22,279,494.50
  5. Step 5: Solve for x
    x = 22,279,494.50/5,133.32
  6. Step 6: Final answer
    x = 4,340.17

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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.