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Finding the Fourth Proportional to 3,457.83, 5,186.75 and 992.66

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Solution

The fourth proportional to 3,457.83, 5,186.75 and 992.66 is: 1,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.83 : 5,186.75 = 992.66 : x
  2. Step 2: Convert to fraction form
    3,457.83/5,186.75 = 992.66/x
  3. Step 3: Cross multiply
    3,457.83x = 5,186.75 × 992.66
  4. Step 4: Simplify right side
    3,457.83x = 5,148,648.36
  5. Step 5: Solve for x
    x = 5,148,648.36/3,457.83
  6. Step 6: Final answer
    x = 1,488.98

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1.5x scale

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.