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Finding the Fourth Proportional to 5,441.86, 7,509.58 and 3,203.72

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Solution

The fourth proportional to 5,441.86, 7,509.58 and 3,203.72 is: 4,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.86 : 7,509.58 = 3,203.72 : x
  2. Step 2: Convert to fraction form
    5,441.86/7,509.58 = 3,203.72/x
  3. Step 3: Cross multiply
    5,441.86x = 7,509.58 × 3,203.72
  4. Step 4: Simplify right side
    5,441.86x = 24,058,591.64
  5. Step 5: Solve for x
    x = 24,058,591.64/5,441.86
  6. Step 6: Final answer
    x = 4,421.02

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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.