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Finding the Fourth Proportional to 5,360.64, 8,041.26 and 1,464.96

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Solution

The fourth proportional to 5,360.64, 8,041.26 and 1,464.96 is: 2,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.64 : 8,041.26 = 1,464.96 : x
  2. Step 2: Convert to fraction form
    5,360.64/8,041.26 = 1,464.96/x
  3. Step 3: Cross multiply
    5,360.64x = 8,041.26 × 1,464.96
  4. Step 4: Simplify right side
    5,360.64x = 11,780,124.25
  5. Step 5: Solve for x
    x = 11,780,124.25/5,360.64
  6. Step 6: Final answer
    x = 2,197.52

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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.