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Finding the Fourth Proportional to 5,101.16, 7,651.02 and 2,503.40

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Solution

The fourth proportional to 5,101.16, 7,651.02 and 2,503.40 is: 3,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.16 : 7,651.02 = 2,503.40 : x
  2. Step 2: Convert to fraction form
    5,101.16/7,651.02 = 2,503.40/x
  3. Step 3: Cross multiply
    5,101.16x = 7,651.02 × 2,503.40
  4. Step 4: Simplify right side
    5,101.16x = 19,153,563.47
  5. Step 5: Solve for x
    x = 19,153,563.47/5,101.16
  6. Step 6: Final answer
    x = 3,754.75

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Why These Related Problems?

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