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Finding the Fourth Proportional to 5,250.74, 7,852.86 and 4,669.82

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Solution

The fourth proportional to 5,250.74, 7,852.86 and 4,669.82 is: 6,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.74 : 7,852.86 = 4,669.82 : x
  2. Step 2: Convert to fraction form
    5,250.74/7,852.86 = 4,669.82/x
  3. Step 3: Cross multiply
    5,250.74x = 7,852.86 × 4,669.82
  4. Step 4: Simplify right side
    5,250.74x = 36,671,442.69
  5. Step 5: Solve for x
    x = 36,671,442.69/5,250.74
  6. Step 6: Final answer
    x = 6,984.05

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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.