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Finding the Fourth Proportional to 3,776.07, 5,663.70 and 2,312.67

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Solution

The fourth proportional to 3,776.07, 5,663.70 and 2,312.67 is: 3,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.07 : 5,663.70 = 2,312.67 : x
  2. Step 2: Convert to fraction form
    3,776.07/5,663.70 = 2,312.67/x
  3. Step 3: Cross multiply
    3,776.07x = 5,663.70 × 2,312.67
  4. Step 4: Simplify right side
    3,776.07x = 13,098,269.08
  5. Step 5: Solve for x
    x = 13,098,269.08/3,776.07
  6. Step 6: Final answer
    x = 3,468.76

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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.