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Finding the Fourth Proportional to 4,090.76, 6,083.86 and 4,047.02

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Solution

The fourth proportional to 4,090.76, 6,083.86 and 4,047.02 is: 6,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.76 : 6,083.86 = 4,047.02 : x
  2. Step 2: Convert to fraction form
    4,090.76/6,083.86 = 4,047.02/x
  3. Step 3: Cross multiply
    4,090.76x = 6,083.86 × 4,047.02
  4. Step 4: Simplify right side
    4,090.76x = 24,621,503.10
  5. Step 5: Solve for x
    x = 24,621,503.10/4,090.76
  6. Step 6: Final answer
    x = 6,018.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.