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Finding the Fourth Proportional to 5,803.98, 8,005.50 and 3,707.16

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Solution

The fourth proportional to 5,803.98, 8,005.50 and 3,707.16 is: 5,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.98 : 8,005.50 = 3,707.16 : x
  2. Step 2: Convert to fraction form
    5,803.98/8,005.50 = 3,707.16/x
  3. Step 3: Cross multiply
    5,803.98x = 8,005.50 × 3,707.16
  4. Step 4: Simplify right side
    5,803.98x = 29,677,669.38
  5. Step 5: Solve for x
    x = 29,677,669.38/5,803.98
  6. Step 6: Final answer
    x = 5,113.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.