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Finding the Fourth Proportional to 5,304.89, 7,957.35 and 1,409.29

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Solution

The fourth proportional to 5,304.89, 7,957.35 and 1,409.29 is: 2,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.89 : 7,957.35 = 1,409.29 : x
  2. Step 2: Convert to fraction form
    5,304.89/7,957.35 = 1,409.29/x
  3. Step 3: Cross multiply
    5,304.89x = 7,957.35 × 1,409.29
  4. Step 4: Simplify right side
    5,304.89x = 11,214,193.89
  5. Step 5: Solve for x
    x = 11,214,193.89/5,304.89
  6. Step 6: Final answer
    x = 2,113.93

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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.