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Finding the Fourth Proportional to 6,307.85, 8,705.39 and 3,475.77

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Solution

The fourth proportional to 6,307.85, 8,705.39 and 3,475.77 is: 4,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.85 : 8,705.39 = 3,475.77 : x
  2. Step 2: Convert to fraction form
    6,307.85/8,705.39 = 3,475.77/x
  3. Step 3: Cross multiply
    6,307.85x = 8,705.39 × 3,475.77
  4. Step 4: Simplify right side
    6,307.85x = 30,257,916.02
  5. Step 5: Solve for x
    x = 30,257,916.02/6,307.85
  6. Step 6: Final answer
    x = 4,796.87

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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.