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Finding the Fourth Proportional to 3,870.78, 5,806.08 and 949.07

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Solution

The fourth proportional to 3,870.78, 5,806.08 and 949.07 is: 1,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.78 : 5,806.08 = 949.07 : x
  2. Step 2: Convert to fraction form
    3,870.78/5,806.08 = 949.07/x
  3. Step 3: Cross multiply
    3,870.78x = 5,806.08 × 949.07
  4. Step 4: Simplify right side
    3,870.78x = 5,510,347.32
  5. Step 5: Solve for x
    x = 5,510,347.32/3,870.78
  6. Step 6: Final answer
    x = 1,423.58

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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.