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Finding the Fourth Proportional to 5,416.47, 8,125.01 and 1,719

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Solution

The fourth proportional to 5,416.47, 8,125.01 and 1,719 is: 2,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.47 : 8,125.01 = 1,719 : x
  2. Step 2: Convert to fraction form
    5,416.47/8,125.01 = 1,719/x
  3. Step 3: Cross multiply
    5,416.47x = 8,125.01 × 1,719
  4. Step 4: Simplify right side
    5,416.47x = 13,966,883.60
  5. Step 5: Solve for x
    x = 13,966,883.60/5,416.47
  6. Step 6: Final answer
    x = 2,578.60

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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.