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Finding the Fourth Proportional to 5,699.52, 7,858.02 and 4,673.69

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Solution

The fourth proportional to 5,699.52, 7,858.02 and 4,673.69 is: 6,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.52 : 7,858.02 = 4,673.69 : x
  2. Step 2: Convert to fraction form
    5,699.52/7,858.02 = 4,673.69/x
  3. Step 3: Cross multiply
    5,699.52x = 7,858.02 × 4,673.69
  4. Step 4: Simplify right side
    5,699.52x = 36,725,949.49
  5. Step 5: Solve for x
    x = 36,725,949.49/5,699.52
  6. Step 6: Final answer
    x = 6,443.69

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1.5x scale

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.