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Finding the Fourth Proportional to 3,113.64, 4,667.63 and 2,416.50

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Solution

The fourth proportional to 3,113.64, 4,667.63 and 2,416.50 is: 3,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.64 : 4,667.63 = 2,416.50 : x
  2. Step 2: Convert to fraction form
    3,113.64/4,667.63 = 2,416.50/x
  3. Step 3: Cross multiply
    3,113.64x = 4,667.63 × 2,416.50
  4. Step 4: Simplify right side
    3,113.64x = 11,279,315.81
  5. Step 5: Solve for x
    x = 11,279,315.81/3,113.64
  6. Step 6: Final answer
    x = 3,622.55

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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.