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Finding the Fourth Proportional to 4,660.65, 6,430.93 and 2,564.78

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Solution

The fourth proportional to 4,660.65, 6,430.93 and 2,564.78 is: 3,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.65 : 6,430.93 = 2,564.78 : x
  2. Step 2: Convert to fraction form
    4,660.65/6,430.93 = 2,564.78/x
  3. Step 3: Cross multiply
    4,660.65x = 6,430.93 × 2,564.78
  4. Step 4: Simplify right side
    4,660.65x = 16,493,882.08
  5. Step 5: Solve for x
    x = 16,493,882.08/4,660.65
  6. Step 6: Final answer
    x = 3,538.97

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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.