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Finding the Fourth Proportional to 4,166, 5,749.10 and 2,303

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Solution

The fourth proportional to 4,166, 5,749.10 and 2,303 is: 3,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166 : 5,749.10 = 2,303 : x
  2. Step 2: Convert to fraction form
    4,166/5,749.10 = 2,303/x
  3. Step 3: Cross multiply
    4,166x = 5,749.10 × 2,303
  4. Step 4: Simplify right side
    4,166x = 13,240,177.30
  5. Step 5: Solve for x
    x = 13,240,177.30/4,166
  6. Step 6: Final answer
    x = 3,178.15

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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.