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Finding the Fourth Proportional to 5,434.68, 7,500.06 and 3,076.68

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Solution

The fourth proportional to 5,434.68, 7,500.06 and 3,076.68 is: 4,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.68 : 7,500.06 = 3,076.68 : x
  2. Step 2: Convert to fraction form
    5,434.68/7,500.06 = 3,076.68/x
  3. Step 3: Cross multiply
    5,434.68x = 7,500.06 × 3,076.68
  4. Step 4: Simplify right side
    5,434.68x = 23,075,284.60
  5. Step 5: Solve for x
    x = 23,075,284.60/5,434.68
  6. Step 6: Final answer
    x = 4,245.93

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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.