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Finding the Fourth Proportional to 4,165.92, 5,749.92 and 2,595.60

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Solution

The fourth proportional to 4,165.92, 5,749.92 and 2,595.60 is: 3,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.92 : 5,749.92 = 2,595.60 : x
  2. Step 2: Convert to fraction form
    4,165.92/5,749.92 = 2,595.60/x
  3. Step 3: Cross multiply
    4,165.92x = 5,749.92 × 2,595.60
  4. Step 4: Simplify right side
    4,165.92x = 14,924,492.35
  5. Step 5: Solve for x
    x = 14,924,492.35/4,165.92
  6. Step 6: Final answer
    x = 3,582.52

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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.