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Finding the Fourth Proportional to 5,409.95, 7,464.44 and 3,285.42

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Solution

The fourth proportional to 5,409.95, 7,464.44 and 3,285.42 is: 4,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.95 : 7,464.44 = 3,285.42 : x
  2. Step 2: Convert to fraction form
    5,409.95/7,464.44 = 3,285.42/x
  3. Step 3: Cross multiply
    5,409.95x = 7,464.44 × 3,285.42
  4. Step 4: Simplify right side
    5,409.95x = 24,523,804.04
  5. Step 5: Solve for x
    x = 24,523,804.04/5,409.95
  6. Step 6: Final answer
    x = 4,533.10

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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.