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Finding the Fourth Proportional to 4,568.36, 6,812.42 and 4,526.78

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Solution

The fourth proportional to 4,568.36, 6,812.42 and 4,526.78 is: 6,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.36 : 6,812.42 = 4,526.78 : x
  2. Step 2: Convert to fraction form
    4,568.36/6,812.42 = 4,526.78/x
  3. Step 3: Cross multiply
    4,568.36x = 6,812.42 × 4,526.78
  4. Step 4: Simplify right side
    4,568.36x = 30,838,326.61
  5. Step 5: Solve for x
    x = 30,838,326.61/4,568.36
  6. Step 6: Final answer
    x = 6,750.42

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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.