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Finding the Fourth Proportional to 4,948.88, 6,824.32 and 4,243.16

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Solution

The fourth proportional to 4,948.88, 6,824.32 and 4,243.16 is: 5,851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.88 : 6,824.32 = 4,243.16 : x
  2. Step 2: Convert to fraction form
    4,948.88/6,824.32 = 4,243.16/x
  3. Step 3: Cross multiply
    4,948.88x = 6,824.32 × 4,243.16
  4. Step 4: Simplify right side
    4,948.88x = 28,956,681.65
  5. Step 5: Solve for x
    x = 28,956,681.65/4,948.88
  6. Step 6: Final answer
    x = 5,851.16

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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.