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Finding the Fourth Proportional to 4,263.50, 5,884 and 2,400.86

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Solution

The fourth proportional to 4,263.50, 5,884 and 2,400.86 is: 3,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.50 : 5,884 = 2,400.86 : x
  2. Step 2: Convert to fraction form
    4,263.50/5,884 = 2,400.86/x
  3. Step 3: Cross multiply
    4,263.50x = 5,884 × 2,400.86
  4. Step 4: Simplify right side
    4,263.50x = 14,126,660.24
  5. Step 5: Solve for x
    x = 14,126,660.24/4,263.50
  6. Step 6: Final answer
    x = 3,313.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.