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Finding the Fourth Proportional to 4,756.14, 7,135.02 and 2,124.63

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Solution

The fourth proportional to 4,756.14, 7,135.02 and 2,124.63 is: 3,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.14 : 7,135.02 = 2,124.63 : x
  2. Step 2: Convert to fraction form
    4,756.14/7,135.02 = 2,124.63/x
  3. Step 3: Cross multiply
    4,756.14x = 7,135.02 × 2,124.63
  4. Step 4: Simplify right side
    4,756.14x = 15,159,277.54
  5. Step 5: Solve for x
    x = 15,159,277.54/4,756.14
  6. Step 6: Final answer
    x = 3,187.31

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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.