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Finding the Fourth Proportional to 5,486.32, 7,572.30 and 3,496.42

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Solution

The fourth proportional to 5,486.32, 7,572.30 and 3,496.42 is: 4,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.32 : 7,572.30 = 3,496.42 : x
  2. Step 2: Convert to fraction form
    5,486.32/7,572.30 = 3,496.42/x
  3. Step 3: Cross multiply
    5,486.32x = 7,572.30 × 3,496.42
  4. Step 4: Simplify right side
    5,486.32x = 26,475,941.17
  5. Step 5: Solve for x
    x = 26,475,941.17/5,486.32
  6. Step 6: Final answer
    x = 4,825.81

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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.