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Finding the Fourth Proportional to 3,509.19, 4,842.50 and 1,937.25

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Solution

The fourth proportional to 3,509.19, 4,842.50 and 1,937.25 is: 2,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.19 : 4,842.50 = 1,937.25 : x
  2. Step 2: Convert to fraction form
    3,509.19/4,842.50 = 1,937.25/x
  3. Step 3: Cross multiply
    3,509.19x = 4,842.50 × 1,937.25
  4. Step 4: Simplify right side
    3,509.19x = 9,381,123.44
  5. Step 5: Solve for x
    x = 9,381,123.44/3,509.19
  6. Step 6: Final answer
    x = 2,673.30

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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.