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Finding the Fourth Proportional to 4,841.40, 7,256.70 and 2,762.40

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Solution

The fourth proportional to 4,841.40, 7,256.70 and 2,762.40 is: 4,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.40 : 7,256.70 = 2,762.40 : x
  2. Step 2: Convert to fraction form
    4,841.40/7,256.70 = 2,762.40/x
  3. Step 3: Cross multiply
    4,841.40x = 7,256.70 × 2,762.40
  4. Step 4: Simplify right side
    4,841.40x = 20,045,908.08
  5. Step 5: Solve for x
    x = 20,045,908.08/4,841.40
  6. Step 6: Final answer
    x = 4,140.52

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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.