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Finding the Fourth Proportional to 4,317, 5,957.46 and 2,454

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Solution

The fourth proportional to 4,317, 5,957.46 and 2,454 is: 3,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317 : 5,957.46 = 2,454 : x
  2. Step 2: Convert to fraction form
    4,317/5,957.46 = 2,454/x
  3. Step 3: Cross multiply
    4,317x = 5,957.46 × 2,454
  4. Step 4: Simplify right side
    4,317x = 14,619,606.84
  5. Step 5: Solve for x
    x = 14,619,606.84/4,317
  6. Step 6: Final answer
    x = 3,386.52

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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.