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Finding the Fourth Proportional to 6,498.71, 8,968.10 and 3,666.34

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Solution

The fourth proportional to 6,498.71, 8,968.10 and 3,666.34 is: 5,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.71 : 8,968.10 = 3,666.34 : x
  2. Step 2: Convert to fraction form
    6,498.71/8,968.10 = 3,666.34/x
  3. Step 3: Cross multiply
    6,498.71x = 8,968.10 × 3,666.34
  4. Step 4: Simplify right side
    6,498.71x = 32,880,090.50
  5. Step 5: Solve for x
    x = 32,880,090.50/6,498.71
  6. Step 6: Final answer
    x = 5,059.48

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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.