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Finding the Fourth Proportional to 3,909.50, 5,395.13 and 2,316.06

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Solution

The fourth proportional to 3,909.50, 5,395.13 and 2,316.06 is: 3,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.50 : 5,395.13 = 2,316.06 : x
  2. Step 2: Convert to fraction form
    3,909.50/5,395.13 = 2,316.06/x
  3. Step 3: Cross multiply
    3,909.50x = 5,395.13 × 2,316.06
  4. Step 4: Simplify right side
    3,909.50x = 12,495,441.89
  5. Step 5: Solve for x
    x = 12,495,441.89/3,909.50
  6. Step 6: Final answer
    x = 3,196.17

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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.