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Finding the Fourth Proportional to 5,254.19, 7,881.44 and 1,966.65

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Solution

The fourth proportional to 5,254.19, 7,881.44 and 1,966.65 is: 2,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.19 : 7,881.44 = 1,966.65 : x
  2. Step 2: Convert to fraction form
    5,254.19/7,881.44 = 1,966.65/x
  3. Step 3: Cross multiply
    5,254.19x = 7,881.44 × 1,966.65
  4. Step 4: Simplify right side
    5,254.19x = 15,500,038.89
  5. Step 5: Solve for x
    x = 15,500,038.89/5,254.19
  6. Step 6: Final answer
    x = 2,950.04

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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.