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Finding the Fourth Proportional to 5,364.06, 8,045.84 and 1,468.46

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Solution

The fourth proportional to 5,364.06, 8,045.84 and 1,468.46 is: 2,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.06 : 8,045.84 = 1,468.46 : x
  2. Step 2: Convert to fraction form
    5,364.06/8,045.84 = 1,468.46/x
  3. Step 3: Cross multiply
    5,364.06x = 8,045.84 × 1,468.46
  4. Step 4: Simplify right side
    5,364.06x = 11,814,994.21
  5. Step 5: Solve for x
    x = 11,814,994.21/5,364.06
  6. Step 6: Final answer
    x = 2,202.62

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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.