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Finding the Fourth Proportional to 3,735.84, 5,598.72 and 1,426.08

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Solution

The fourth proportional to 3,735.84, 5,598.72 and 1,426.08 is: 2,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.84 : 5,598.72 = 1,426.08 : x
  2. Step 2: Convert to fraction form
    3,735.84/5,598.72 = 1,426.08/x
  3. Step 3: Cross multiply
    3,735.84x = 5,598.72 × 1,426.08
  4. Step 4: Simplify right side
    3,735.84x = 7,984,222.62
  5. Step 5: Solve for x
    x = 7,984,222.62/3,735.84
  6. Step 6: Final answer
    x = 2,137.20

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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.