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Finding the Fourth Proportional to 4,975.68, 7,459.04 and 1,899.84

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Solution

The fourth proportional to 4,975.68, 7,459.04 and 1,899.84 is: 2,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.68 : 7,459.04 = 1,899.84 : x
  2. Step 2: Convert to fraction form
    4,975.68/7,459.04 = 1,899.84/x
  3. Step 3: Cross multiply
    4,975.68x = 7,459.04 × 1,899.84
  4. Step 4: Simplify right side
    4,975.68x = 14,170,982.55
  5. Step 5: Solve for x
    x = 14,170,982.55/4,975.68
  6. Step 6: Final answer
    x = 2,848.05

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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.