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Finding the Fourth Proportional to 5,628.64, 8,442.12 and 1,468.94

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Solution

The fourth proportional to 5,628.64, 8,442.12 and 1,468.94 is: 2,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.64 : 8,442.12 = 1,468.94 : x
  2. Step 2: Convert to fraction form
    5,628.64/8,442.12 = 1,468.94/x
  3. Step 3: Cross multiply
    5,628.64x = 8,442.12 × 1,468.94
  4. Step 4: Simplify right side
    5,628.64x = 12,400,931.05
  5. Step 5: Solve for x
    x = 12,400,931.05/5,628.64
  6. Step 6: Final answer
    x = 2,203.18

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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.