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Finding the Fourth Proportional to 3,667.84, 5,501.67 and 1,070.80

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Solution

The fourth proportional to 3,667.84, 5,501.67 and 1,070.80 is: 1,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.84 : 5,501.67 = 1,070.80 : x
  2. Step 2: Convert to fraction form
    3,667.84/5,501.67 = 1,070.80/x
  3. Step 3: Cross multiply
    3,667.84x = 5,501.67 × 1,070.80
  4. Step 4: Simplify right side
    3,667.84x = 5,891,188.24
  5. Step 5: Solve for x
    x = 5,891,188.24/3,667.84
  6. Step 6: Final answer
    x = 1,606.17

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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.