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Finding the Fourth Proportional to 4,953.49, 7,430.24 and 3,005.24

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Solution

The fourth proportional to 4,953.49, 7,430.24 and 3,005.24 is: 4,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.49 : 7,430.24 = 3,005.24 : x
  2. Step 2: Convert to fraction form
    4,953.49/7,430.24 = 3,005.24/x
  3. Step 3: Cross multiply
    4,953.49x = 7,430.24 × 3,005.24
  4. Step 4: Simplify right side
    4,953.49x = 22,329,654.46
  5. Step 5: Solve for x
    x = 22,329,654.46/4,953.49
  6. Step 6: Final answer
    x = 4,507.86

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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.