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Finding the Fourth Proportional to 4,576.51, 6,861.12 and 1,977.67

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Solution

The fourth proportional to 4,576.51, 6,861.12 and 1,977.67 is: 2,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.51 : 6,861.12 = 1,977.67 : x
  2. Step 2: Convert to fraction form
    4,576.51/6,861.12 = 1,977.67/x
  3. Step 3: Cross multiply
    4,576.51x = 6,861.12 × 1,977.67
  4. Step 4: Simplify right side
    4,576.51x = 13,569,031.19
  5. Step 5: Solve for x
    x = 13,569,031.19/4,576.51
  6. Step 6: Final answer
    x = 2,964.93

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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.