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Finding the Fourth Proportional to 5,305.16, 7,957.94 and 1,409.60

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Solution

The fourth proportional to 5,305.16, 7,957.94 and 1,409.60 is: 2,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.16 : 7,957.94 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    5,305.16/7,957.94 = 1,409.60/x
  3. Step 3: Cross multiply
    5,305.16x = 7,957.94 × 1,409.60
  4. Step 4: Simplify right side
    5,305.16x = 11,217,512.22
  5. Step 5: Solve for x
    x = 11,217,512.22/5,305.16
  6. Step 6: Final answer
    x = 2,114.45

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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.