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Finding the Fourth Proportional to 4,806.46, 7,211.43 and 1,886.76

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Solution

The fourth proportional to 4,806.46, 7,211.43 and 1,886.76 is: 2,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.46 : 7,211.43 = 1,886.76 : x
  2. Step 2: Convert to fraction form
    4,806.46/7,211.43 = 1,886.76/x
  3. Step 3: Cross multiply
    4,806.46x = 7,211.43 × 1,886.76
  4. Step 4: Simplify right side
    4,806.46x = 13,606,237.67
  5. Step 5: Solve for x
    x = 13,606,237.67/4,806.46
  6. Step 6: Final answer
    x = 2,830.82

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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.