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Finding the Fourth Proportional to 4,353.74, 6,524.24 and 2,705.30

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Solution

The fourth proportional to 4,353.74, 6,524.24 and 2,705.30 is: 4,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.74 : 6,524.24 = 2,705.30 : x
  2. Step 2: Convert to fraction form
    4,353.74/6,524.24 = 2,705.30/x
  3. Step 3: Cross multiply
    4,353.74x = 6,524.24 × 2,705.30
  4. Step 4: Simplify right side
    4,353.74x = 17,649,980.32
  5. Step 5: Solve for x
    x = 17,649,980.32/4,353.74
  6. Step 6: Final answer
    x = 4,053.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.