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Finding the Fourth Proportional to 5,422.64, 7,477.32 and 3,530.74

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Solution

The fourth proportional to 5,422.64, 7,477.32 and 3,530.74 is: 4,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.64 : 7,477.32 = 3,530.74 : x
  2. Step 2: Convert to fraction form
    5,422.64/7,477.32 = 3,530.74/x
  3. Step 3: Cross multiply
    5,422.64x = 7,477.32 × 3,530.74
  4. Step 4: Simplify right side
    5,422.64x = 26,400,472.82
  5. Step 5: Solve for x
    x = 26,400,472.82/5,422.64
  6. Step 6: Final answer
    x = 4,868.56

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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.