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Finding the Fourth Proportional to 4,366.96, 6,024.96 and 2,478.36

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Solution

The fourth proportional to 4,366.96, 6,024.96 and 2,478.36 is: 3,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.96 : 6,024.96 = 2,478.36 : x
  2. Step 2: Convert to fraction form
    4,366.96/6,024.96 = 2,478.36/x
  3. Step 3: Cross multiply
    4,366.96x = 6,024.96 × 2,478.36
  4. Step 4: Simplify right side
    4,366.96x = 14,932,019.87
  5. Step 5: Solve for x
    x = 14,932,019.87/4,366.96
  6. Step 6: Final answer
    x = 3,419.32

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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.