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Finding the Fourth Proportional to 4,353.82, 6,530.80 and 1,580.58

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Solution

The fourth proportional to 4,353.82, 6,530.80 and 1,580.58 is: 2,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.82 : 6,530.80 = 1,580.58 : x
  2. Step 2: Convert to fraction form
    4,353.82/6,530.80 = 1,580.58/x
  3. Step 3: Cross multiply
    4,353.82x = 6,530.80 × 1,580.58
  4. Step 4: Simplify right side
    4,353.82x = 10,322,451.86
  5. Step 5: Solve for x
    x = 10,322,451.86/4,353.82
  6. Step 6: Final answer
    x = 2,370.90

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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.