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Finding the Fourth Proportional to 5,930.36, 8,892.64 and 3,465.80

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Solution

The fourth proportional to 5,930.36, 8,892.64 and 3,465.80 is: 5,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.36 : 8,892.64 = 3,465.80 : x
  2. Step 2: Convert to fraction form
    5,930.36/8,892.64 = 3,465.80/x
  3. Step 3: Cross multiply
    5,930.36x = 8,892.64 × 3,465.80
  4. Step 4: Simplify right side
    5,930.36x = 30,820,111.71
  5. Step 5: Solve for x
    x = 30,820,111.71/5,930.36
  6. Step 6: Final answer
    x = 5,197.01

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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.