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Finding the Fourth Proportional to 4,842.16, 7,258.80 and 1,762

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Solution

The fourth proportional to 4,842.16, 7,258.80 and 1,762 is: 2,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.16 : 7,258.80 = 1,762 : x
  2. Step 2: Convert to fraction form
    4,842.16/7,258.80 = 1,762/x
  3. Step 3: Cross multiply
    4,842.16x = 7,258.80 × 1,762
  4. Step 4: Simplify right side
    4,842.16x = 12,790,005.60
  5. Step 5: Solve for x
    x = 12,790,005.60/4,842.16
  6. Step 6: Final answer
    x = 2,641.38

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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.