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Finding the Fourth Proportional to 6,357.02, 8,774.61 and 4,119.02

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Solution

The fourth proportional to 6,357.02, 8,774.61 and 4,119.02 is: 5,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.02 : 8,774.61 = 4,119.02 : x
  2. Step 2: Convert to fraction form
    6,357.02/8,774.61 = 4,119.02/x
  3. Step 3: Cross multiply
    6,357.02x = 8,774.61 × 4,119.02
  4. Step 4: Simplify right side
    6,357.02x = 36,142,794.08
  5. Step 5: Solve for x
    x = 36,142,794.08/6,357.02
  6. Step 6: Final answer
    x = 5,685.49

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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.