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Finding the Fourth Proportional to 6,085.81, 8,397.70 and 3,433.06

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Solution

The fourth proportional to 6,085.81, 8,397.70 and 3,433.06 is: 4,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.81 : 8,397.70 = 3,433.06 : x
  2. Step 2: Convert to fraction form
    6,085.81/8,397.70 = 3,433.06/x
  3. Step 3: Cross multiply
    6,085.81x = 8,397.70 × 3,433.06
  4. Step 4: Simplify right side
    6,085.81x = 28,829,807.96
  5. Step 5: Solve for x
    x = 28,829,807.96/6,085.81
  6. Step 6: Final answer
    x = 4,737.22

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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.