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Finding the Fourth Proportional to 3,037, 4,199.70 and 2,899.48

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Solution

The fourth proportional to 3,037, 4,199.70 and 2,899.48 is: 4,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037 : 4,199.70 = 2,899.48 : x
  2. Step 2: Convert to fraction form
    3,037/4,199.70 = 2,899.48/x
  3. Step 3: Cross multiply
    3,037x = 4,199.70 × 2,899.48
  4. Step 4: Simplify right side
    3,037x = 12,176,946.16
  5. Step 5: Solve for x
    x = 12,176,946.16/3,037
  6. Step 6: Final answer
    x = 4,009.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.