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Finding the Fourth Proportional to 3,840.50, 5,302.94 and 2,582.66

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Solution

The fourth proportional to 3,840.50, 5,302.94 and 2,582.66 is: 3,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.50 : 5,302.94 = 2,582.66 : x
  2. Step 2: Convert to fraction form
    3,840.50/5,302.94 = 2,582.66/x
  3. Step 3: Cross multiply
    3,840.50x = 5,302.94 × 2,582.66
  4. Step 4: Simplify right side
    3,840.50x = 13,695,691.02
  5. Step 5: Solve for x
    x = 13,695,691.02/3,840.50
  6. Step 6: Final answer
    x = 3,566.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.