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Finding the Fourth Proportional to 6,442, 8,890.32 and 3,648.40

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Solution

The fourth proportional to 6,442, 8,890.32 and 3,648.40 is: 5,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442 : 8,890.32 = 3,648.40 : x
  2. Step 2: Convert to fraction form
    6,442/8,890.32 = 3,648.40/x
  3. Step 3: Cross multiply
    6,442x = 8,890.32 × 3,648.40
  4. Step 4: Simplify right side
    6,442x = 32,435,443.49
  5. Step 5: Solve for x
    x = 32,435,443.49/6,442
  6. Step 6: Final answer
    x = 5,035.00

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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.