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Finding the Fourth Proportional to 5,415.82, 7,475.10 and 3,524.14

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Solution

The fourth proportional to 5,415.82, 7,475.10 and 3,524.14 is: 4,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.82 : 7,475.10 = 3,524.14 : x
  2. Step 2: Convert to fraction form
    5,415.82/7,475.10 = 3,524.14/x
  3. Step 3: Cross multiply
    5,415.82x = 7,475.10 × 3,524.14
  4. Step 4: Simplify right side
    5,415.82x = 26,343,298.91
  5. Step 5: Solve for x
    x = 26,343,298.91/5,415.82
  6. Step 6: Final answer
    x = 4,864.14

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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.