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Finding the Fourth Proportional to 4,562.34, 6,296.13 and 2,572.98

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Solution

The fourth proportional to 4,562.34, 6,296.13 and 2,572.98 is: 3,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.34 : 6,296.13 = 2,572.98 : x
  2. Step 2: Convert to fraction form
    4,562.34/6,296.13 = 2,572.98/x
  3. Step 3: Cross multiply
    4,562.34x = 6,296.13 × 2,572.98
  4. Step 4: Simplify right side
    4,562.34x = 16,199,816.57
  5. Step 5: Solve for x
    x = 16,199,816.57/4,562.34
  6. Step 6: Final answer
    x = 3,550.77

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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.