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Finding the Fourth Proportional to 5,114.63, 7,059.47 and 3,124.86

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Solution

The fourth proportional to 5,114.63, 7,059.47 and 3,124.86 is: 4,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.63 : 7,059.47 = 3,124.86 : x
  2. Step 2: Convert to fraction form
    5,114.63/7,059.47 = 3,124.86/x
  3. Step 3: Cross multiply
    5,114.63x = 7,059.47 × 3,124.86
  4. Step 4: Simplify right side
    5,114.63x = 22,059,839.80
  5. Step 5: Solve for x
    x = 22,059,839.80/5,114.63
  6. Step 6: Final answer
    x = 4,313.09

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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.