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Finding the Fourth Proportional to 4,689.50, 6,471.51 and 2,564.99

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Solution

The fourth proportional to 4,689.50, 6,471.51 and 2,564.99 is: 3,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.50 : 6,471.51 = 2,564.99 : x
  2. Step 2: Convert to fraction form
    4,689.50/6,471.51 = 2,564.99/x
  3. Step 3: Cross multiply
    4,689.50x = 6,471.51 × 2,564.99
  4. Step 4: Simplify right side
    4,689.50x = 16,599,326.08
  5. Step 5: Solve for x
    x = 16,599,326.08/4,689.50
  6. Step 6: Final answer
    x = 3,539.68

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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.