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Finding the Fourth Proportional to 4,210.49, 6,315.74 and 1,745.37

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Solution

The fourth proportional to 4,210.49, 6,315.74 and 1,745.37 is: 2,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.49 : 6,315.74 = 1,745.37 : x
  2. Step 2: Convert to fraction form
    4,210.49/6,315.74 = 1,745.37/x
  3. Step 3: Cross multiply
    4,210.49x = 6,315.74 × 1,745.37
  4. Step 4: Simplify right side
    4,210.49x = 11,023,303.12
  5. Step 5: Solve for x
    x = 11,023,303.12/4,210.49
  6. Step 6: Final answer
    x = 2,618.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.