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Finding the Fourth Proportional to 4,643.28, 6,969.84 and 4,538.88

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Solution

The fourth proportional to 4,643.28, 6,969.84 and 4,538.88 is: 6,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.28 : 6,969.84 = 4,538.88 : x
  2. Step 2: Convert to fraction form
    4,643.28/6,969.84 = 4,538.88/x
  3. Step 3: Cross multiply
    4,643.28x = 6,969.84 × 4,538.88
  4. Step 4: Simplify right side
    4,643.28x = 31,635,267.38
  5. Step 5: Solve for x
    x = 31,635,267.38/4,643.28
  6. Step 6: Final answer
    x = 6,813.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.