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Finding the Fourth Proportional to 5,228.10, 7,332.30 and 5,228.10

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Solution

The fourth proportional to 5,228.10, 7,332.30 and 5,228.10 is: 7,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.10 : 7,332.30 = 5,228.10 : x
  2. Step 2: Convert to fraction form
    5,228.10/7,332.30 = 5,228.10/x
  3. Step 3: Cross multiply
    5,228.10x = 7,332.30 × 5,228.10
  4. Step 4: Simplify right side
    5,228.10x = 38,333,997.63
  5. Step 5: Solve for x
    x = 38,333,997.63/5,228.10
  6. Step 6: Final answer
    x = 7,332.30

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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.