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Finding the Fourth Proportional to 5,304.66, 7,957.20 and 1,409.10

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Solution

The fourth proportional to 5,304.66, 7,957.20 and 1,409.10 is: 2,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.66 : 7,957.20 = 1,409.10 : x
  2. Step 2: Convert to fraction form
    5,304.66/7,957.20 = 1,409.10/x
  3. Step 3: Cross multiply
    5,304.66x = 7,957.20 × 1,409.10
  4. Step 4: Simplify right side
    5,304.66x = 11,212,490.52
  5. Step 5: Solve for x
    x = 11,212,490.52/5,304.66
  6. Step 6: Final answer
    x = 2,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.