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Finding the Fourth Proportional to 5,095.76, 7,027.02 and 4,694

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Solution

The fourth proportional to 5,095.76, 7,027.02 and 4,694 is: 6,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.76 : 7,027.02 = 4,694 : x
  2. Step 2: Convert to fraction form
    5,095.76/7,027.02 = 4,694/x
  3. Step 3: Cross multiply
    5,095.76x = 7,027.02 × 4,694
  4. Step 4: Simplify right side
    5,095.76x = 32,984,831.88
  5. Step 5: Solve for x
    x = 32,984,831.88/5,095.76
  6. Step 6: Final answer
    x = 6,473.00

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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.