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Finding the Fourth Proportional to 4,928.64, 7,394.08 and 1,465.92

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Solution

The fourth proportional to 4,928.64, 7,394.08 and 1,465.92 is: 2,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.64 : 7,394.08 = 1,465.92 : x
  2. Step 2: Convert to fraction form
    4,928.64/7,394.08 = 1,465.92/x
  3. Step 3: Cross multiply
    4,928.64x = 7,394.08 × 1,465.92
  4. Step 4: Simplify right side
    4,928.64x = 10,839,129.75
  5. Step 5: Solve for x
    x = 10,839,129.75/4,928.64
  6. Step 6: Final answer
    x = 2,199.21

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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.