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Finding the Fourth Proportional to 4,166.68, 5,749.68 and 2,303.68

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Solution

The fourth proportional to 4,166.68, 5,749.68 and 2,303.68 is: 3,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.68 : 5,749.68 = 2,303.68 : x
  2. Step 2: Convert to fraction form
    4,166.68/5,749.68 = 2,303.68/x
  3. Step 3: Cross multiply
    4,166.68x = 5,749.68 × 2,303.68
  4. Step 4: Simplify right side
    4,166.68x = 13,245,422.82
  5. Step 5: Solve for x
    x = 13,245,422.82/4,166.68
  6. Step 6: Final answer
    x = 3,178.89

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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.