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Finding the Fourth Proportional to 5,803.76, 8,707 and 1,908.02

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Solution

The fourth proportional to 5,803.76, 8,707 and 1,908.02 is: 2,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.76 : 8,707 = 1,908.02 : x
  2. Step 2: Convert to fraction form
    5,803.76/8,707 = 1,908.02/x
  3. Step 3: Cross multiply
    5,803.76x = 8,707 × 1,908.02
  4. Step 4: Simplify right side
    5,803.76x = 16,613,130.14
  5. Step 5: Solve for x
    x = 16,613,130.14/5,803.76
  6. Step 6: Final answer
    x = 2,862.48

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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.