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Finding the Fourth Proportional to 5,305.08, 7,957.62 and 1,409.34

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Solution

The fourth proportional to 5,305.08, 7,957.62 and 1,409.34 is: 2,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.08 : 7,957.62 = 1,409.34 : x
  2. Step 2: Convert to fraction form
    5,305.08/7,957.62 = 1,409.34/x
  3. Step 3: Cross multiply
    5,305.08x = 7,957.62 × 1,409.34
  4. Step 4: Simplify right side
    5,305.08x = 11,214,992.17
  5. Step 5: Solve for x
    x = 11,214,992.17/5,305.08
  6. Step 6: Final answer
    x = 2,114.01

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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.