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Finding the Fourth Proportional to 5,787.40, 7,981.59 and 4,667.98

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Solution

The fourth proportional to 5,787.40, 7,981.59 and 4,667.98 is: 6,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.40 : 7,981.59 = 4,667.98 : x
  2. Step 2: Convert to fraction form
    5,787.40/7,981.59 = 4,667.98/x
  3. Step 3: Cross multiply
    5,787.40x = 7,981.59 × 4,667.98
  4. Step 4: Simplify right side
    5,787.40x = 37,257,902.49
  5. Step 5: Solve for x
    x = 37,257,902.49/5,787.40
  6. Step 6: Final answer
    x = 6,437.76

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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.