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Finding the Fourth Proportional to 5,654.70, 7,806.44 and 4,392.92

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Solution

The fourth proportional to 5,654.70, 7,806.44 and 4,392.92 is: 6,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.70 : 7,806.44 = 4,392.92 : x
  2. Step 2: Convert to fraction form
    5,654.70/7,806.44 = 4,392.92/x
  3. Step 3: Cross multiply
    5,654.70x = 7,806.44 × 4,392.92
  4. Step 4: Simplify right side
    5,654.70x = 34,293,005.41
  5. Step 5: Solve for x
    x = 34,293,005.41/5,654.70
  6. Step 6: Final answer
    x = 6,064.51

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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.