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Finding the Fourth Proportional to 3,495.48, 4,825.76 and 2,318.15

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Solution

The fourth proportional to 3,495.48, 4,825.76 and 2,318.15 is: 3,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.48 : 4,825.76 = 2,318.15 : x
  2. Step 2: Convert to fraction form
    3,495.48/4,825.76 = 2,318.15/x
  3. Step 3: Cross multiply
    3,495.48x = 4,825.76 × 2,318.15
  4. Step 4: Simplify right side
    3,495.48x = 11,186,835.54
  5. Step 5: Solve for x
    x = 11,186,835.54/3,495.48
  6. Step 6: Final answer
    x = 3,200.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.