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Finding the Fourth Proportional to 5,101, 7,651.50 and 2,025.16

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Solution

The fourth proportional to 5,101, 7,651.50 and 2,025.16 is: 3,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101 : 7,651.50 = 2,025.16 : x
  2. Step 2: Convert to fraction form
    5,101/7,651.50 = 2,025.16/x
  3. Step 3: Cross multiply
    5,101x = 7,651.50 × 2,025.16
  4. Step 4: Simplify right side
    5,101x = 15,495,511.74
  5. Step 5: Solve for x
    x = 15,495,511.74/5,101
  6. Step 6: Final answer
    x = 3,037.74

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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.