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Finding the Fourth Proportional to 4,200.06, 6,300.22 and 2,118.93

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Solution

The fourth proportional to 4,200.06, 6,300.22 and 2,118.93 is: 3,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.06 : 6,300.22 = 2,118.93 : x
  2. Step 2: Convert to fraction form
    4,200.06/6,300.22 = 2,118.93/x
  3. Step 3: Cross multiply
    4,200.06x = 6,300.22 × 2,118.93
  4. Step 4: Simplify right side
    4,200.06x = 13,349,725.16
  5. Step 5: Solve for x
    x = 13,349,725.16/4,200.06
  6. Step 6: Final answer
    x = 3,178.46

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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.