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Finding the Fourth Proportional to 5,573.64, 7,699.20 and 4,462.56

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Solution

The fourth proportional to 5,573.64, 7,699.20 and 4,462.56 is: 6,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.64 : 7,699.20 = 4,462.56 : x
  2. Step 2: Convert to fraction form
    5,573.64/7,699.20 = 4,462.56/x
  3. Step 3: Cross multiply
    5,573.64x = 7,699.20 × 4,462.56
  4. Step 4: Simplify right side
    5,573.64x = 34,358,141.95
  5. Step 5: Solve for x
    x = 34,358,141.95/5,573.64
  6. Step 6: Final answer
    x = 6,164.40

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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.