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Finding the Fourth Proportional to 3,407.14, 5,113.14 and 1,460.74

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Solution

The fourth proportional to 3,407.14, 5,113.14 and 1,460.74 is: 2,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.14 : 5,113.14 = 1,460.74 : x
  2. Step 2: Convert to fraction form
    3,407.14/5,113.14 = 1,460.74/x
  3. Step 3: Cross multiply
    3,407.14x = 5,113.14 × 1,460.74
  4. Step 4: Simplify right side
    3,407.14x = 7,468,968.12
  5. Step 5: Solve for x
    x = 7,468,968.12/3,407.14
  6. Step 6: Final answer
    x = 2,192.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.