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Finding the Fourth Proportional to 4,305.24, 5,941.15 and 2,416.67

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Solution

The fourth proportional to 4,305.24, 5,941.15 and 2,416.67 is: 3,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.24 : 5,941.15 = 2,416.67 : x
  2. Step 2: Convert to fraction form
    4,305.24/5,941.15 = 2,416.67/x
  3. Step 3: Cross multiply
    4,305.24x = 5,941.15 × 2,416.67
  4. Step 4: Simplify right side
    4,305.24x = 14,357,803.38
  5. Step 5: Solve for x
    x = 14,357,803.38/4,305.24
  6. Step 6: Final answer
    x = 3,334.96

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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.