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Finding the Fourth Proportional to 5,602.42, 7,730.67 and 3,244.24

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Solution

The fourth proportional to 5,602.42, 7,730.67 and 3,244.24 is: 4,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.42 : 7,730.67 = 3,244.24 : x
  2. Step 2: Convert to fraction form
    5,602.42/7,730.67 = 3,244.24/x
  3. Step 3: Cross multiply
    5,602.42x = 7,730.67 × 3,244.24
  4. Step 4: Simplify right side
    5,602.42x = 25,080,148.84
  5. Step 5: Solve for x
    x = 25,080,148.84/5,602.42
  6. Step 6: Final answer
    x = 4,476.66

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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.