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Finding the Fourth Proportional to 5,534.21, 7,646.94 and 4,424.31

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Solution

The fourth proportional to 5,534.21, 7,646.94 and 4,424.31 is: 6,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.21 : 7,646.94 = 4,424.31 : x
  2. Step 2: Convert to fraction form
    5,534.21/7,646.94 = 4,424.31/x
  3. Step 3: Cross multiply
    5,534.21x = 7,646.94 × 4,424.31
  4. Step 4: Simplify right side
    5,534.21x = 33,832,433.11
  5. Step 5: Solve for x
    x = 33,832,433.11/5,534.21
  6. Step 6: Final answer
    x = 6,113.32

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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.