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Finding the Fourth Proportional to 5,409.40, 8,114.12 and 3,465.40

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Solution

The fourth proportional to 5,409.40, 8,114.12 and 3,465.40 is: 5,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.40 : 8,114.12 = 3,465.40 : x
  2. Step 2: Convert to fraction form
    5,409.40/8,114.12 = 3,465.40/x
  3. Step 3: Cross multiply
    5,409.40x = 8,114.12 × 3,465.40
  4. Step 4: Simplify right side
    5,409.40x = 28,118,671.45
  5. Step 5: Solve for x
    x = 28,118,671.45/5,409.40
  6. Step 6: Final answer
    x = 5,198.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.