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Finding the Fourth Proportional to 5,084.63, 7,011.86 and 3,965.16

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Solution

The fourth proportional to 5,084.63, 7,011.86 and 3,965.16 is: 5,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.63 : 7,011.86 = 3,965.16 : x
  2. Step 2: Convert to fraction form
    5,084.63/7,011.86 = 3,965.16/x
  3. Step 3: Cross multiply
    5,084.63x = 7,011.86 × 3,965.16
  4. Step 4: Simplify right side
    5,084.63x = 27,803,091.91
  5. Step 5: Solve for x
    x = 27,803,091.91/5,084.63
  6. Step 6: Final answer
    x = 5,468.07

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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.