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Finding the Fourth Proportional to 4,564.65, 6,846.90 and 1,277.69

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Solution

The fourth proportional to 4,564.65, 6,846.90 and 1,277.69 is: 1,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.65 : 6,846.90 = 1,277.69 : x
  2. Step 2: Convert to fraction form
    4,564.65/6,846.90 = 1,277.69/x
  3. Step 3: Cross multiply
    4,564.65x = 6,846.90 × 1,277.69
  4. Step 4: Simplify right side
    4,564.65x = 8,748,181.43
  5. Step 5: Solve for x
    x = 8,748,181.43/4,564.65
  6. Step 6: Final answer
    x = 1,916.51

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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.