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Finding the Fourth Proportional to 5,628.40, 7,864.40 and 5,628.40

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Solution

The fourth proportional to 5,628.40, 7,864.40 and 5,628.40 is: 7,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.40 : 7,864.40 = 5,628.40 : x
  2. Step 2: Convert to fraction form
    5,628.40/7,864.40 = 5,628.40/x
  3. Step 3: Cross multiply
    5,628.40x = 7,864.40 × 5,628.40
  4. Step 4: Simplify right side
    5,628.40x = 44,263,988.96
  5. Step 5: Solve for x
    x = 44,263,988.96/5,628.40
  6. Step 6: Final answer
    x = 7,864.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.