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Finding the Fourth Proportional to 4,756.47, 7,134.90 and 2,123.48

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Solution

The fourth proportional to 4,756.47, 7,134.90 and 2,123.48 is: 3,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.47 : 7,134.90 = 2,123.48 : x
  2. Step 2: Convert to fraction form
    4,756.47/7,134.90 = 2,123.48/x
  3. Step 3: Cross multiply
    4,756.47x = 7,134.90 × 2,123.48
  4. Step 4: Simplify right side
    4,756.47x = 15,150,829.04
  5. Step 5: Solve for x
    x = 15,150,829.04/4,756.47
  6. Step 6: Final answer
    x = 3,185.31

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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.