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Finding the Fourth Proportional to 4,135.84, 6,200.10 and 1,670.20

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Solution

The fourth proportional to 4,135.84, 6,200.10 and 1,670.20 is: 2,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.84 : 6,200.10 = 1,670.20 : x
  2. Step 2: Convert to fraction form
    4,135.84/6,200.10 = 1,670.20/x
  3. Step 3: Cross multiply
    4,135.84x = 6,200.10 × 1,670.20
  4. Step 4: Simplify right side
    4,135.84x = 10,355,407.02
  5. Step 5: Solve for x
    x = 10,355,407.02/4,135.84
  6. Step 6: Final answer
    x = 2,503.82

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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.