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Finding the Fourth Proportional to 3,164.30, 4,436.50 and 3,164.30

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Solution

The fourth proportional to 3,164.30, 4,436.50 and 3,164.30 is: 4,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.30 : 4,436.50 = 3,164.30 : x
  2. Step 2: Convert to fraction form
    3,164.30/4,436.50 = 3,164.30/x
  3. Step 3: Cross multiply
    3,164.30x = 4,436.50 × 3,164.30
  4. Step 4: Simplify right side
    3,164.30x = 14,038,416.95
  5. Step 5: Solve for x
    x = 14,038,416.95/3,164.30
  6. Step 6: Final answer
    x = 4,436.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.