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Finding the Fourth Proportional to 5,099.35, 7,648.98 and 1,636.60

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Solution

The fourth proportional to 5,099.35, 7,648.98 and 1,636.60 is: 2,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.35 : 7,648.98 = 1,636.60 : x
  2. Step 2: Convert to fraction form
    5,099.35/7,648.98 = 1,636.60/x
  3. Step 3: Cross multiply
    5,099.35x = 7,648.98 × 1,636.60
  4. Step 4: Simplify right side
    5,099.35x = 12,518,320.67
  5. Step 5: Solve for x
    x = 12,518,320.67/5,099.35
  6. Step 6: Final answer
    x = 2,454.89

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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.