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Finding the Fourth Proportional to 5,070, 6,995.82 and 2,831.79

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Solution

The fourth proportional to 5,070, 6,995.82 and 2,831.79 is: 3,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070 : 6,995.82 = 2,831.79 : x
  2. Step 2: Convert to fraction form
    5,070/6,995.82 = 2,831.79/x
  3. Step 3: Cross multiply
    5,070x = 6,995.82 × 2,831.79
  4. Step 4: Simplify right side
    5,070x = 19,810,693.12
  5. Step 5: Solve for x
    x = 19,810,693.12/5,070
  6. Step 6: Final answer
    x = 3,907.43

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