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Finding the Fourth Proportional to 4,124.32, 5,653.44 and 4,068.96

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Solution

The fourth proportional to 4,124.32, 5,653.44 and 4,068.96 is: 5,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.32 : 5,653.44 = 4,068.96 : x
  2. Step 2: Convert to fraction form
    4,124.32/5,653.44 = 4,068.96/x
  3. Step 3: Cross multiply
    4,124.32x = 5,653.44 × 4,068.96
  4. Step 4: Simplify right side
    4,124.32x = 23,003,621.22
  5. Step 5: Solve for x
    x = 23,003,621.22/4,124.32
  6. Step 6: Final answer
    x = 5,577.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.