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Finding the Fourth Proportional to 4,502.30, 6,743.01 and 4,346.56

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Solution

The fourth proportional to 4,502.30, 6,743.01 and 4,346.56 is: 6,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.30 : 6,743.01 = 4,346.56 : x
  2. Step 2: Convert to fraction form
    4,502.30/6,743.01 = 4,346.56/x
  3. Step 3: Cross multiply
    4,502.30x = 6,743.01 × 4,346.56
  4. Step 4: Simplify right side
    4,502.30x = 29,308,897.55
  5. Step 5: Solve for x
    x = 29,308,897.55/4,502.30
  6. Step 6: Final answer
    x = 6,509.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.