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Finding the Fourth Proportional to 5,177.53, 7,767.80 and 1,667.46

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Solution

The fourth proportional to 5,177.53, 7,767.80 and 1,667.46 is: 2,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.53 : 7,767.80 = 1,667.46 : x
  2. Step 2: Convert to fraction form
    5,177.53/7,767.80 = 1,667.46/x
  3. Step 3: Cross multiply
    5,177.53x = 7,767.80 × 1,667.46
  4. Step 4: Simplify right side
    5,177.53x = 12,952,461.12
  5. Step 5: Solve for x
    x = 12,952,461.12/5,177.53
  6. Step 6: Final answer
    x = 2,501.67

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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.