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Finding the Fourth Proportional to 4,562.22, 6,288.45 and 3,565.74

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Solution

The fourth proportional to 4,562.22, 6,288.45 and 3,565.74 is: 4,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.22 : 6,288.45 = 3,565.74 : x
  2. Step 2: Convert to fraction form
    4,562.22/6,288.45 = 3,565.74/x
  3. Step 3: Cross multiply
    4,562.22x = 6,288.45 × 3,565.74
  4. Step 4: Simplify right side
    4,562.22x = 22,422,977.70
  5. Step 5: Solve for x
    x = 22,422,977.70/4,562.22
  6. Step 6: Final answer
    x = 4,914.93

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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.