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Finding the Fourth Proportional to 4,848.62, 7,273.90 and 1,561.46

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Solution

The fourth proportional to 4,848.62, 7,273.90 and 1,561.46 is: 2,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.62 : 7,273.90 = 1,561.46 : x
  2. Step 2: Convert to fraction form
    4,848.62/7,273.90 = 1,561.46/x
  3. Step 3: Cross multiply
    4,848.62x = 7,273.90 × 1,561.46
  4. Step 4: Simplify right side
    4,848.62x = 11,357,903.89
  5. Step 5: Solve for x
    x = 11,357,903.89/4,848.62
  6. Step 6: Final answer
    x = 2,342.50

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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.