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Finding the Fourth Proportional to 3,411.86, 4,709.93 and 2,572.90

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Solution

The fourth proportional to 3,411.86, 4,709.93 and 2,572.90 is: 3,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.86 : 4,709.93 = 2,572.90 : x
  2. Step 2: Convert to fraction form
    3,411.86/4,709.93 = 2,572.90/x
  3. Step 3: Cross multiply
    3,411.86x = 4,709.93 × 2,572.90
  4. Step 4: Simplify right side
    3,411.86x = 12,118,178.90
  5. Step 5: Solve for x
    x = 12,118,178.90/3,411.86
  6. Step 6: Final answer
    x = 3,551.78

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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.