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Finding the Fourth Proportional to 6,484.34, 8,940.19 and 4,242.66

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Solution

The fourth proportional to 6,484.34, 8,940.19 and 4,242.66 is: 5,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.34 : 8,940.19 = 4,242.66 : x
  2. Step 2: Convert to fraction form
    6,484.34/8,940.19 = 4,242.66/x
  3. Step 3: Cross multiply
    6,484.34x = 8,940.19 × 4,242.66
  4. Step 4: Simplify right side
    6,484.34x = 37,930,186.51
  5. Step 5: Solve for x
    x = 37,930,186.51/6,484.34
  6. Step 6: Final answer
    x = 5,849.51

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