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Finding the Fourth Proportional to 4,941.40, 7,412.10 and 4,722.70

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Solution

The fourth proportional to 4,941.40, 7,412.10 and 4,722.70 is: 7,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.40 : 7,412.10 = 4,722.70 : x
  2. Step 2: Convert to fraction form
    4,941.40/7,412.10 = 4,722.70/x
  3. Step 3: Cross multiply
    4,941.40x = 7,412.10 × 4,722.70
  4. Step 4: Simplify right side
    4,941.40x = 35,005,124.67
  5. Step 5: Solve for x
    x = 35,005,124.67/4,941.40
  6. Step 6: Final answer
    x = 7,084.05

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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.