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Finding the Fourth Proportional to 4,095.88, 5,651.94 and 2,523.64

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Solution

The fourth proportional to 4,095.88, 5,651.94 and 2,523.64 is: 3,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.88 : 5,651.94 = 2,523.64 : x
  2. Step 2: Convert to fraction form
    4,095.88/5,651.94 = 2,523.64/x
  3. Step 3: Cross multiply
    4,095.88x = 5,651.94 × 2,523.64
  4. Step 4: Simplify right side
    4,095.88x = 14,263,461.86
  5. Step 5: Solve for x
    x = 14,263,461.86/4,095.88
  6. Step 6: Final answer
    x = 3,482.39

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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.