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Finding the Fourth Proportional to 3,460.36, 5,192.36 and 1,513.93

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Solution

The fourth proportional to 3,460.36, 5,192.36 and 1,513.93 is: 2,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.36 : 5,192.36 = 1,513.93 : x
  2. Step 2: Convert to fraction form
    3,460.36/5,192.36 = 1,513.93/x
  3. Step 3: Cross multiply
    3,460.36x = 5,192.36 × 1,513.93
  4. Step 4: Simplify right side
    3,460.36x = 7,860,836.04
  5. Step 5: Solve for x
    x = 7,860,836.04/3,460.36
  6. Step 6: Final answer
    x = 2,271.68

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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.