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Finding the Fourth Proportional to 5,494.96, 7,583.01 and 2,977.03

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Solution

The fourth proportional to 5,494.96, 7,583.01 and 2,977.03 is: 4,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.96 : 7,583.01 = 2,977.03 : x
  2. Step 2: Convert to fraction form
    5,494.96/7,583.01 = 2,977.03/x
  3. Step 3: Cross multiply
    5,494.96x = 7,583.01 × 2,977.03
  4. Step 4: Simplify right side
    5,494.96x = 22,574,848.26
  5. Step 5: Solve for x
    x = 22,574,848.26/5,494.96
  6. Step 6: Final answer
    x = 4,108.28

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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.