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Finding the Fourth Proportional to 4,931.36, 7,398.32 and 1,468.64

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Solution

The fourth proportional to 4,931.36, 7,398.32 and 1,468.64 is: 2,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.36 : 7,398.32 = 1,468.64 : x
  2. Step 2: Convert to fraction form
    4,931.36/7,398.32 = 1,468.64/x
  3. Step 3: Cross multiply
    4,931.36x = 7,398.32 × 1,468.64
  4. Step 4: Simplify right side
    4,931.36x = 10,865,468.68
  5. Step 5: Solve for x
    x = 10,865,468.68/4,931.36
  6. Step 6: Final answer
    x = 2,203.34

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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.