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Finding the Fourth Proportional to 4,842.42, 6,685.65 and 2,980.50

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Solution

The fourth proportional to 4,842.42, 6,685.65 and 2,980.50 is: 4,115.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.42 : 6,685.65 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    4,842.42/6,685.65 = 2,980.50/x
  3. Step 3: Cross multiply
    4,842.42x = 6,685.65 × 2,980.50
  4. Step 4: Simplify right side
    4,842.42x = 19,926,579.83
  5. Step 5: Solve for x
    x = 19,926,579.83/4,842.42
  6. Step 6: Final answer
    x = 4,115.00

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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.