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Finding the Fourth Proportional to 4,842.67, 6,686.00 and 2,980.75

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Solution

The fourth proportional to 4,842.67, 6,686.00 and 2,980.75 is: 4,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.67 : 6,686.00 = 2,980.75 : x
  2. Step 2: Convert to fraction form
    4,842.67/6,686.00 = 2,980.75/x
  3. Step 3: Cross multiply
    4,842.67x = 6,686.00 × 2,980.75
  4. Step 4: Simplify right side
    4,842.67x = 19,929,279.60
  5. Step 5: Solve for x
    x = 19,929,279.60/4,842.67
  6. Step 6: Final answer
    x = 4,115.35

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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.