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Finding the Fourth Proportional to 5,312.33, 7,332.08 and 4,051.14

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Solution

The fourth proportional to 5,312.33, 7,332.08 and 4,051.14 is: 5,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.33 : 7,332.08 = 4,051.14 : x
  2. Step 2: Convert to fraction form
    5,312.33/7,332.08 = 4,051.14/x
  3. Step 3: Cross multiply
    5,312.33x = 7,332.08 × 4,051.14
  4. Step 4: Simplify right side
    5,312.33x = 29,703,292.70
  5. Step 5: Solve for x
    x = 29,703,292.70/5,312.33
  6. Step 6: Final answer
    x = 5,591.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.