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Finding the Fourth Proportional to 6,440, 8,887.20 and 3,645.50

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Solution

The fourth proportional to 6,440, 8,887.20 and 3,645.50 is: 5,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440 : 8,887.20 = 3,645.50 : x
  2. Step 2: Convert to fraction form
    6,440/8,887.20 = 3,645.50/x
  3. Step 3: Cross multiply
    6,440x = 8,887.20 × 3,645.50
  4. Step 4: Simplify right side
    6,440x = 32,398,287.60
  5. Step 5: Solve for x
    x = 32,398,287.60/6,440
  6. Step 6: Final answer
    x = 5,030.79

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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.