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Finding the Fourth Proportional to 5,100.01, 7,648.40 and 1,636.45

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Solution

The fourth proportional to 5,100.01, 7,648.40 and 1,636.45 is: 2,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.01 : 7,648.40 = 1,636.45 : x
  2. Step 2: Convert to fraction form
    5,100.01/7,648.40 = 1,636.45/x
  3. Step 3: Cross multiply
    5,100.01x = 7,648.40 × 1,636.45
  4. Step 4: Simplify right side
    5,100.01x = 12,516,247.57
  5. Step 5: Solve for x
    x = 12,516,247.57/5,100.01
  6. Step 6: Final answer
    x = 2,454.16

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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.