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Finding the Fourth Proportional to 4,609.36, 6,913.50 and 1,277.85

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Solution

The fourth proportional to 4,609.36, 6,913.50 and 1,277.85 is: 1,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.36 : 6,913.50 = 1,277.85 : x
  2. Step 2: Convert to fraction form
    4,609.36/6,913.50 = 1,277.85/x
  3. Step 3: Cross multiply
    4,609.36x = 6,913.50 × 1,277.85
  4. Step 4: Simplify right side
    4,609.36x = 8,834,437.11
  5. Step 5: Solve for x
    x = 8,834,437.11/4,609.36
  6. Step 6: Final answer
    x = 1,916.63

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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.