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Finding the Fourth Proportional to 6,441.06, 8,888.85 and 3,646.50

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Solution

The fourth proportional to 6,441.06, 8,888.85 and 3,646.50 is: 5,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.06 : 8,888.85 = 3,646.50 : x
  2. Step 2: Convert to fraction form
    6,441.06/8,888.85 = 3,646.50/x
  3. Step 3: Cross multiply
    6,441.06x = 8,888.85 × 3,646.50
  4. Step 4: Simplify right side
    6,441.06x = 32,413,191.53
  5. Step 5: Solve for x
    x = 32,413,191.53/6,441.06
  6. Step 6: Final answer
    x = 5,032.28

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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.