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Finding the Fourth Proportional to 4,928, 7,392 and 1,465.28

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Solution

The fourth proportional to 4,928, 7,392 and 1,465.28 is: 2,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928 : 7,392 = 1,465.28 : x
  2. Step 2: Convert to fraction form
    4,928/7,392 = 1,465.28/x
  3. Step 3: Cross multiply
    4,928x = 7,392 × 1,465.28
  4. Step 4: Simplify right side
    4,928x = 10,831,349.76
  5. Step 5: Solve for x
    x = 10,831,349.76/4,928
  6. Step 6: Final answer
    x = 2,197.92

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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.