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Finding the Fourth Proportional to 3,515.61, 5,270.16 and 1,667.59

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Solution

The fourth proportional to 3,515.61, 5,270.16 and 1,667.59 is: 2,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.61 : 5,270.16 = 1,667.59 : x
  2. Step 2: Convert to fraction form
    3,515.61/5,270.16 = 1,667.59/x
  3. Step 3: Cross multiply
    3,515.61x = 5,270.16 × 1,667.59
  4. Step 4: Simplify right side
    3,515.61x = 8,788,457.78
  5. Step 5: Solve for x
    x = 8,788,457.78/3,515.61
  6. Step 6: Final answer
    x = 2,499.84

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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.