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Finding the Fourth Proportional to 5,133.60, 7,701.12 and 4,168

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Solution

The fourth proportional to 5,133.60, 7,701.12 and 4,168 is: 6,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.60 : 7,701.12 = 4,168 : x
  2. Step 2: Convert to fraction form
    5,133.60/7,701.12 = 4,168/x
  3. Step 3: Cross multiply
    5,133.60x = 7,701.12 × 4,168
  4. Step 4: Simplify right side
    5,133.60x = 32,098,268.16
  5. Step 5: Solve for x
    x = 32,098,268.16/5,133.60
  6. Step 6: Final answer
    x = 6,252.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.