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Finding the Fourth Proportional to 3,741.60, 5,612.40 and 2,866.80

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Solution

The fourth proportional to 3,741.60, 5,612.40 and 2,866.80 is: 4,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.60 : 5,612.40 = 2,866.80 : x
  2. Step 2: Convert to fraction form
    3,741.60/5,612.40 = 2,866.80/x
  3. Step 3: Cross multiply
    3,741.60x = 5,612.40 × 2,866.80
  4. Step 4: Simplify right side
    3,741.60x = 16,089,628.32
  5. Step 5: Solve for x
    x = 16,089,628.32/3,741.60
  6. Step 6: Final answer
    x = 4,300.20

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1.5x scale

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.