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Finding the Fourth Proportional to 4,848.57, 7,272.90 and 1,561.65

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Solution

The fourth proportional to 4,848.57, 7,272.90 and 1,561.65 is: 2,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.57 : 7,272.90 = 1,561.65 : x
  2. Step 2: Convert to fraction form
    4,848.57/7,272.90 = 1,561.65/x
  3. Step 3: Cross multiply
    4,848.57x = 7,272.90 × 1,561.65
  4. Step 4: Simplify right side
    4,848.57x = 11,357,724.29
  5. Step 5: Solve for x
    x = 11,357,724.29/4,848.57
  6. Step 6: Final answer
    x = 2,342.49

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Why These Related Problems?

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