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Finding the Fourth Proportional to 4,210.07, 6,305.25 and 2,125

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Solution

The fourth proportional to 4,210.07, 6,305.25 and 2,125 is: 3,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.07 : 6,305.25 = 2,125 : x
  2. Step 2: Convert to fraction form
    4,210.07/6,305.25 = 2,125/x
  3. Step 3: Cross multiply
    4,210.07x = 6,305.25 × 2,125
  4. Step 4: Simplify right side
    4,210.07x = 13,398,656.25
  5. Step 5: Solve for x
    x = 13,398,656.25/4,210.07
  6. Step 6: Final answer
    x = 3,182.53

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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.