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Finding the Fourth Proportional to 5,354.41, 7,388.06 and 3,465.73

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Solution

The fourth proportional to 5,354.41, 7,388.06 and 3,465.73 is: 4,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.41 : 7,388.06 = 3,465.73 : x
  2. Step 2: Convert to fraction form
    5,354.41/7,388.06 = 3,465.73/x
  3. Step 3: Cross multiply
    5,354.41x = 7,388.06 × 3,465.73
  4. Step 4: Simplify right side
    5,354.41x = 25,605,038.84
  5. Step 5: Solve for x
    x = 25,605,038.84/5,354.41
  6. Step 6: Final answer
    x = 4,782.05

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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.