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Finding the Fourth Proportional to 5,548.84, 7,657.14 and 3,312.20

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Solution

The fourth proportional to 5,548.84, 7,657.14 and 3,312.20 is: 4,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.84 : 7,657.14 = 3,312.20 : x
  2. Step 2: Convert to fraction form
    5,548.84/7,657.14 = 3,312.20/x
  3. Step 3: Cross multiply
    5,548.84x = 7,657.14 × 3,312.20
  4. Step 4: Simplify right side
    5,548.84x = 25,361,979.11
  5. Step 5: Solve for x
    x = 25,361,979.11/5,548.84
  6. Step 6: Final answer
    x = 4,570.68

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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.