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Finding the Fourth Proportional to 6,307.80, 8,706.26 and 3,656.66

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Solution

The fourth proportional to 6,307.80, 8,706.26 and 3,656.66 is: 5,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.80 : 8,706.26 = 3,656.66 : x
  2. Step 2: Convert to fraction form
    6,307.80/8,706.26 = 3,656.66/x
  3. Step 3: Cross multiply
    6,307.80x = 8,706.26 × 3,656.66
  4. Step 4: Simplify right side
    6,307.80x = 31,835,832.69
  5. Step 5: Solve for x
    x = 31,835,832.69/6,307.80
  6. Step 6: Final answer
    x = 5,047.06

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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.