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Finding the Fourth Proportional to 4,667.84, 6,993.52 and 4,159.36

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Solution

The fourth proportional to 4,667.84, 6,993.52 and 4,159.36 is: 6,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.84 : 6,993.52 = 4,159.36 : x
  2. Step 2: Convert to fraction form
    4,667.84/6,993.52 = 4,159.36/x
  3. Step 3: Cross multiply
    4,667.84x = 6,993.52 × 4,159.36
  4. Step 4: Simplify right side
    4,667.84x = 29,088,567.35
  5. Step 5: Solve for x
    x = 29,088,567.35/4,667.84
  6. Step 6: Final answer
    x = 6,231.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.