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Finding the Fourth Proportional to 5,548.96, 7,657.59 and 3,031.03

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Solution

The fourth proportional to 5,548.96, 7,657.59 and 3,031.03 is: 4,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.96 : 7,657.59 = 3,031.03 : x
  2. Step 2: Convert to fraction form
    5,548.96/7,657.59 = 3,031.03/x
  3. Step 3: Cross multiply
    5,548.96x = 7,657.59 × 3,031.03
  4. Step 4: Simplify right side
    5,548.96x = 23,210,385.02
  5. Step 5: Solve for x
    x = 23,210,385.02/5,548.96
  6. Step 6: Final answer
    x = 4,182.84

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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.