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Finding the Fourth Proportional to 3,534.86, 4,875.35 and 2,472.27

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Solution

The fourth proportional to 3,534.86, 4,875.35 and 2,472.27 is: 3,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.86 : 4,875.35 = 2,472.27 : x
  2. Step 2: Convert to fraction form
    3,534.86/4,875.35 = 2,472.27/x
  3. Step 3: Cross multiply
    3,534.86x = 4,875.35 × 2,472.27
  4. Step 4: Simplify right side
    3,534.86x = 12,053,169.18
  5. Step 5: Solve for x
    x = 12,053,169.18/3,534.86
  6. Step 6: Final answer
    x = 3,409.81

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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.