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Finding the Fourth Proportional to 3,916.01, 5,870.25 and 1,450.16

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Solution

The fourth proportional to 3,916.01, 5,870.25 and 1,450.16 is: 2,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.01 : 5,870.25 = 1,450.16 : x
  2. Step 2: Convert to fraction form
    3,916.01/5,870.25 = 1,450.16/x
  3. Step 3: Cross multiply
    3,916.01x = 5,870.25 × 1,450.16
  4. Step 4: Simplify right side
    3,916.01x = 8,512,801.74
  5. Step 5: Solve for x
    x = 8,512,801.74/3,916.01
  6. Step 6: Final answer
    x = 2,173.85

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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.