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Finding the Fourth Proportional to 5,070.30, 6,992.64 and 4,228.71

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Solution

The fourth proportional to 5,070.30, 6,992.64 and 4,228.71 is: 5,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.30 : 6,992.64 = 4,228.71 : x
  2. Step 2: Convert to fraction form
    5,070.30/6,992.64 = 4,228.71/x
  3. Step 3: Cross multiply
    5,070.30x = 6,992.64 × 4,228.71
  4. Step 4: Simplify right side
    5,070.30x = 29,569,846.69
  5. Step 5: Solve for x
    x = 29,569,846.69/5,070.30
  6. Step 6: Final answer
    x = 5,831.97

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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.