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Finding the Fourth Proportional to 4,927.76, 7,348.90 and 4,202

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Solution

The fourth proportional to 4,927.76, 7,348.90 and 4,202 is: 6,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.76 : 7,348.90 = 4,202 : x
  2. Step 2: Convert to fraction form
    4,927.76/7,348.90 = 4,202/x
  3. Step 3: Cross multiply
    4,927.76x = 7,348.90 × 4,202
  4. Step 4: Simplify right side
    4,927.76x = 30,880,077.80
  5. Step 5: Solve for x
    x = 30,880,077.80/4,927.76
  6. Step 6: Final answer
    x = 6,266.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.