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Finding the Fourth Proportional to 4,569.36, 6,813.92 and 4,527.78

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Solution

The fourth proportional to 4,569.36, 6,813.92 and 4,527.78 is: 6,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.36 : 6,813.92 = 4,527.78 : x
  2. Step 2: Convert to fraction form
    4,569.36/6,813.92 = 4,527.78/x
  3. Step 3: Cross multiply
    4,569.36x = 6,813.92 × 4,527.78
  4. Step 4: Simplify right side
    4,569.36x = 30,851,908.06
  5. Step 5: Solve for x
    x = 30,851,908.06/4,569.36
  6. Step 6: Final answer
    x = 6,751.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.