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Finding the Fourth Proportional to 6,298.43, 8,681.58 and 5,035.46

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Solution

The fourth proportional to 6,298.43, 8,681.58 and 5,035.46 is: 6,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.43 : 8,681.58 = 5,035.46 : x
  2. Step 2: Convert to fraction form
    6,298.43/8,681.58 = 5,035.46/x
  3. Step 3: Cross multiply
    6,298.43x = 8,681.58 × 5,035.46
  4. Step 4: Simplify right side
    6,298.43x = 43,715,705.42
  5. Step 5: Solve for x
    x = 43,715,705.42/6,298.43
  6. Step 6: Final answer
    x = 6,940.74

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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.