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Finding the Fourth Proportional to 4,130.40, 6,197.70 and 2,744.70

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Solution

The fourth proportional to 4,130.40, 6,197.70 and 2,744.70 is: 4,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.40 : 6,197.70 = 2,744.70 : x
  2. Step 2: Convert to fraction form
    4,130.40/6,197.70 = 2,744.70/x
  3. Step 3: Cross multiply
    4,130.40x = 6,197.70 × 2,744.70
  4. Step 4: Simplify right side
    4,130.40x = 17,010,827.19
  5. Step 5: Solve for x
    x = 17,010,827.19/4,130.40
  6. Step 6: Final answer
    x = 4,118.45

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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.