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Finding the Fourth Proportional to 5,551.96, 7,648.68 and 3,870.32

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Solution

The fourth proportional to 5,551.96, 7,648.68 and 3,870.32 is: 5,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.96 : 7,648.68 = 3,870.32 : x
  2. Step 2: Convert to fraction form
    5,551.96/7,648.68 = 3,870.32/x
  3. Step 3: Cross multiply
    5,551.96x = 7,648.68 × 3,870.32
  4. Step 4: Simplify right side
    5,551.96x = 29,602,839.18
  5. Step 5: Solve for x
    x = 29,602,839.18/5,551.96
  6. Step 6: Final answer
    x = 5,331.96

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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.