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Finding the Fourth Proportional to 5,304.69, 7,957.58 and 1,409.49

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Solution

The fourth proportional to 5,304.69, 7,957.58 and 1,409.49 is: 2,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.69 : 7,957.58 = 1,409.49 : x
  2. Step 2: Convert to fraction form
    5,304.69/7,957.58 = 1,409.49/x
  3. Step 3: Cross multiply
    5,304.69x = 7,957.58 × 1,409.49
  4. Step 4: Simplify right side
    5,304.69x = 11,216,122.39
  5. Step 5: Solve for x
    x = 11,216,122.39/5,304.69
  6. Step 6: Final answer
    x = 2,114.38

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