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Finding the Fourth Proportional to 5,409.94, 7,465.04 and 3,171.30

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Solution

The fourth proportional to 5,409.94, 7,465.04 and 3,171.30 is: 4,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.94 : 7,465.04 = 3,171.30 : x
  2. Step 2: Convert to fraction form
    5,409.94/7,465.04 = 3,171.30/x
  3. Step 3: Cross multiply
    5,409.94x = 7,465.04 × 3,171.30
  4. Step 4: Simplify right side
    5,409.94x = 23,673,881.35
  5. Step 5: Solve for x
    x = 23,673,881.35/5,409.94
  6. Step 6: Final answer
    x = 4,376.00

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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.