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Finding the Fourth Proportional to 5,226.18, 7,840.02 and 1,528.68

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Solution

The fourth proportional to 5,226.18, 7,840.02 and 1,528.68 is: 2,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.18 : 7,840.02 = 1,528.68 : x
  2. Step 2: Convert to fraction form
    5,226.18/7,840.02 = 1,528.68/x
  3. Step 3: Cross multiply
    5,226.18x = 7,840.02 × 1,528.68
  4. Step 4: Simplify right side
    5,226.18x = 11,984,881.77
  5. Step 5: Solve for x
    x = 11,984,881.77/5,226.18
  6. Step 6: Final answer
    x = 2,293.24

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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.