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Finding the Fourth Proportional to 4,667.63, 6,441.79 and 3,486.65

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Solution

The fourth proportional to 4,667.63, 6,441.79 and 3,486.65 is: 4,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.63 : 6,441.79 = 3,486.65 : x
  2. Step 2: Convert to fraction form
    4,667.63/6,441.79 = 3,486.65/x
  3. Step 3: Cross multiply
    4,667.63x = 6,441.79 × 3,486.65
  4. Step 4: Simplify right side
    4,667.63x = 22,460,267.10
  5. Step 5: Solve for x
    x = 22,460,267.10/4,667.63
  6. Step 6: Final answer
    x = 4,811.92

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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.