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Finding the Fourth Proportional to 4,165.14, 5,746.60 and 2,509.14

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Solution

The fourth proportional to 4,165.14, 5,746.60 and 2,509.14 is: 3,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.14 : 5,746.60 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    4,165.14/5,746.60 = 2,509.14/x
  3. Step 3: Cross multiply
    4,165.14x = 5,746.60 × 2,509.14
  4. Step 4: Simplify right side
    4,165.14x = 14,419,023.92
  5. Step 5: Solve for x
    x = 14,419,023.92/4,165.14
  6. Step 6: Final answer
    x = 3,461.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.