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Finding the Fourth Proportional to 4,706.55, 6,499.17 and 2,941.17

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Solution

The fourth proportional to 4,706.55, 6,499.17 and 2,941.17 is: 4,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.55 : 6,499.17 = 2,941.17 : x
  2. Step 2: Convert to fraction form
    4,706.55/6,499.17 = 2,941.17/x
  3. Step 3: Cross multiply
    4,706.55x = 6,499.17 × 2,941.17
  4. Step 4: Simplify right side
    4,706.55x = 19,115,163.83
  5. Step 5: Solve for x
    x = 19,115,163.83/4,706.55
  6. Step 6: Final answer
    x = 4,061.40

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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.