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Finding the Fourth Proportional to 5,807.04, 8,707.68 and 1,908.96

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Solution

The fourth proportional to 5,807.04, 8,707.68 and 1,908.96 is: 2,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.04 : 8,707.68 = 1,908.96 : x
  2. Step 2: Convert to fraction form
    5,807.04/8,707.68 = 1,908.96/x
  3. Step 3: Cross multiply
    5,807.04x = 8,707.68 × 1,908.96
  4. Step 4: Simplify right side
    5,807.04x = 16,622,612.81
  5. Step 5: Solve for x
    x = 16,622,612.81/5,807.04
  6. Step 6: Final answer
    x = 2,862.49

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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.