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Finding the Fourth Proportional to 5,410.80, 7,466.31 and 4,294.52

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Solution

The fourth proportional to 5,410.80, 7,466.31 and 4,294.52 is: 5,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.80 : 7,466.31 = 4,294.52 : x
  2. Step 2: Convert to fraction form
    5,410.80/7,466.31 = 4,294.52/x
  3. Step 3: Cross multiply
    5,410.80x = 7,466.31 × 4,294.52
  4. Step 4: Simplify right side
    5,410.80x = 32,064,208.29
  5. Step 5: Solve for x
    x = 32,064,208.29/5,410.80
  6. Step 6: Final answer
    x = 5,925.96

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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.