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Finding the Fourth Proportional to 4,416.64, 6,094.86 and 2,400.00

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Solution

The fourth proportional to 4,416.64, 6,094.86 and 2,400.00 is: 3,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.64 : 6,094.86 = 2,400.00 : x
  2. Step 2: Convert to fraction form
    4,416.64/6,094.86 = 2,400.00/x
  3. Step 3: Cross multiply
    4,416.64x = 6,094.86 × 2,400.00
  4. Step 4: Simplify right side
    4,416.64x = 14,627,645.64
  5. Step 5: Solve for x
    x = 14,627,645.64/4,416.64
  6. Step 6: Final answer
    x = 3,311.94

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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.