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Finding the Fourth Proportional to 5,577.24, 8,368.02 and 2,113.68

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Solution

The fourth proportional to 5,577.24, 8,368.02 and 2,113.68 is: 3,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.24 : 8,368.02 = 2,113.68 : x
  2. Step 2: Convert to fraction form
    5,577.24/8,368.02 = 2,113.68/x
  3. Step 3: Cross multiply
    5,577.24x = 8,368.02 × 2,113.68
  4. Step 4: Simplify right side
    5,577.24x = 17,687,316.51
  5. Step 5: Solve for x
    x = 17,687,316.51/5,577.24
  6. Step 6: Final answer
    x = 3,171.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.