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Finding the Fourth Proportional to 5,423.82, 7,486.14 and 3,532.14

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Solution

The fourth proportional to 5,423.82, 7,486.14 and 3,532.14 is: 4,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.82 : 7,486.14 = 3,532.14 : x
  2. Step 2: Convert to fraction form
    5,423.82/7,486.14 = 3,532.14/x
  3. Step 3: Cross multiply
    5,423.82x = 7,486.14 × 3,532.14
  4. Step 4: Simplify right side
    5,423.82x = 26,442,094.54
  5. Step 5: Solve for x
    x = 26,442,094.54/5,423.82
  6. Step 6: Final answer
    x = 4,875.18

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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.