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Finding the Fourth Proportional to 5,041.66, 6,954.60 and 4,186.07

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Solution

The fourth proportional to 5,041.66, 6,954.60 and 4,186.07 is: 5,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.66 : 6,954.60 = 4,186.07 : x
  2. Step 2: Convert to fraction form
    5,041.66/6,954.60 = 4,186.07/x
  3. Step 3: Cross multiply
    5,041.66x = 6,954.60 × 4,186.07
  4. Step 4: Simplify right side
    5,041.66x = 29,112,421.49
  5. Step 5: Solve for x
    x = 29,112,421.49/5,041.66
  6. Step 6: Final answer
    x = 5,774.38

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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.