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Finding the Fourth Proportional to 5,282.64, 7,928.64 and 2,363.28

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Solution

The fourth proportional to 5,282.64, 7,928.64 and 2,363.28 is: 3,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.64 : 7,928.64 = 2,363.28 : x
  2. Step 2: Convert to fraction form
    5,282.64/7,928.64 = 2,363.28/x
  3. Step 3: Cross multiply
    5,282.64x = 7,928.64 × 2,363.28
  4. Step 4: Simplify right side
    5,282.64x = 18,737,596.34
  5. Step 5: Solve for x
    x = 18,737,596.34/5,282.64
  6. Step 6: Final answer
    x = 3,547.01

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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.