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Finding the Fourth Proportional to 5,301.01, 7,951.50 and 1,405.45

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Solution

The fourth proportional to 5,301.01, 7,951.50 and 1,405.45 is: 2,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.01 : 7,951.50 = 1,405.45 : x
  2. Step 2: Convert to fraction form
    5,301.01/7,951.50 = 1,405.45/x
  3. Step 3: Cross multiply
    5,301.01x = 7,951.50 × 1,405.45
  4. Step 4: Simplify right side
    5,301.01x = 11,175,428.65
  5. Step 5: Solve for x
    x = 11,175,428.65/5,301.01
  6. Step 6: Final answer
    x = 2,108.17

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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.