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Finding the Fourth Proportional to 3,541.46, 4,887.45 and 2,364.50

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Solution

The fourth proportional to 3,541.46, 4,887.45 and 2,364.50 is: 3,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.46 : 4,887.45 = 2,364.50 : x
  2. Step 2: Convert to fraction form
    3,541.46/4,887.45 = 2,364.50/x
  3. Step 3: Cross multiply
    3,541.46x = 4,887.45 × 2,364.50
  4. Step 4: Simplify right side
    3,541.46x = 11,556,375.53
  5. Step 5: Solve for x
    x = 11,556,375.53/3,541.46
  6. Step 6: Final answer
    x = 3,263.17

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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.