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Finding the Fourth Proportional to 4,867.64, 6,710.76 and 4,203.08

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Solution

The fourth proportional to 4,867.64, 6,710.76 and 4,203.08 is: 5,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.64 : 6,710.76 = 4,203.08 : x
  2. Step 2: Convert to fraction form
    4,867.64/6,710.76 = 4,203.08/x
  3. Step 3: Cross multiply
    4,867.64x = 6,710.76 × 4,203.08
  4. Step 4: Simplify right side
    4,867.64x = 28,205,861.14
  5. Step 5: Solve for x
    x = 28,205,861.14/4,867.64
  6. Step 6: Final answer
    x = 5,794.57

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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.