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Finding the Fourth Proportional to 6,425.91, 8,870.31 and 4,189.71

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Solution

The fourth proportional to 6,425.91, 8,870.31 and 4,189.71 is: 5,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.91 : 8,870.31 = 4,189.71 : x
  2. Step 2: Convert to fraction form
    6,425.91/8,870.31 = 4,189.71/x
  3. Step 3: Cross multiply
    6,425.91x = 8,870.31 × 4,189.71
  4. Step 4: Simplify right side
    6,425.91x = 37,164,026.51
  5. Step 5: Solve for x
    x = 37,164,026.51/6,425.91
  6. Step 6: Final answer
    x = 5,783.47

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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.