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Finding the Fourth Proportional to 4,280.67, 6,385.98 and 4,161.60

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Solution

The fourth proportional to 4,280.67, 6,385.98 and 4,161.60 is: 6,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.67 : 6,385.98 = 4,161.60 : x
  2. Step 2: Convert to fraction form
    4,280.67/6,385.98 = 4,161.60/x
  3. Step 3: Cross multiply
    4,280.67x = 6,385.98 × 4,161.60
  4. Step 4: Simplify right side
    4,280.67x = 26,575,894.37
  5. Step 5: Solve for x
    x = 26,575,894.37/4,280.67
  6. Step 6: Final answer
    x = 6,208.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.