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Finding the Fourth Proportional to 5,242.79, 7,862.63 and 1,544.94

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Solution

The fourth proportional to 5,242.79, 7,862.63 and 1,544.94 is: 2,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.79 : 7,862.63 = 1,544.94 : x
  2. Step 2: Convert to fraction form
    5,242.79/7,862.63 = 1,544.94/x
  3. Step 3: Cross multiply
    5,242.79x = 7,862.63 × 1,544.94
  4. Step 4: Simplify right side
    5,242.79x = 12,147,283.87
  5. Step 5: Solve for x
    x = 12,147,283.87/5,242.79
  6. Step 6: Final answer
    x = 2,316.95

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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.