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Finding the Fourth Proportional to 4,689.29, 6,471.01 and 2,564.77

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Solution

The fourth proportional to 4,689.29, 6,471.01 and 2,564.77 is: 3,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.29 : 6,471.01 = 2,564.77 : x
  2. Step 2: Convert to fraction form
    4,689.29/6,471.01 = 2,564.77/x
  3. Step 3: Cross multiply
    4,689.29x = 6,471.01 × 2,564.77
  4. Step 4: Simplify right side
    4,689.29x = 16,596,652.32
  5. Step 5: Solve for x
    x = 16,596,652.32/4,689.29
  6. Step 6: Final answer
    x = 3,539.27

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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.