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Finding the Fourth Proportional to 4,757.50, 6,565.35 and 2,661.67

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Solution

The fourth proportional to 4,757.50, 6,565.35 and 2,661.67 is: 3,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.50 : 6,565.35 = 2,661.67 : x
  2. Step 2: Convert to fraction form
    4,757.50/6,565.35 = 2,661.67/x
  3. Step 3: Cross multiply
    4,757.50x = 6,565.35 × 2,661.67
  4. Step 4: Simplify right side
    4,757.50x = 17,474,795.13
  5. Step 5: Solve for x
    x = 17,474,795.13/4,757.50
  6. Step 6: Final answer
    x = 3,673.10

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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.