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Finding the Fourth Proportional to 5,699.85, 7,857.05 and 4,016.48

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Solution

The fourth proportional to 5,699.85, 7,857.05 and 4,016.48 is: 5,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.85 : 7,857.05 = 4,016.48 : x
  2. Step 2: Convert to fraction form
    5,699.85/7,857.05 = 4,016.48/x
  3. Step 3: Cross multiply
    5,699.85x = 7,857.05 × 4,016.48
  4. Step 4: Simplify right side
    5,699.85x = 31,557,624.82
  5. Step 5: Solve for x
    x = 31,557,624.82/5,699.85
  6. Step 6: Final answer
    x = 5,536.57

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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.