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Finding the Fourth Proportional to 4,165.76, 5,746.20 and 2,840.08

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Solution

The fourth proportional to 4,165.76, 5,746.20 and 2,840.08 is: 3,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.76 : 5,746.20 = 2,840.08 : x
  2. Step 2: Convert to fraction form
    4,165.76/5,746.20 = 2,840.08/x
  3. Step 3: Cross multiply
    4,165.76x = 5,746.20 × 2,840.08
  4. Step 4: Simplify right side
    4,165.76x = 16,319,667.70
  5. Step 5: Solve for x
    x = 16,319,667.70/4,165.76
  6. Step 6: Final answer
    x = 3,917.57

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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.