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Finding the Fourth Proportional to 5,693.01, 7,857.62 and 3,700.11

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Solution

The fourth proportional to 5,693.01, 7,857.62 and 3,700.11 is: 5,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.01 : 7,857.62 = 3,700.11 : x
  2. Step 2: Convert to fraction form
    5,693.01/7,857.62 = 3,700.11/x
  3. Step 3: Cross multiply
    5,693.01x = 7,857.62 × 3,700.11
  4. Step 4: Simplify right side
    5,693.01x = 29,074,058.34
  5. Step 5: Solve for x
    x = 29,074,058.34/5,693.01
  6. Step 6: Final answer
    x = 5,106.97

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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.