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Finding the Fourth Proportional to 3,772.02, 5,657.02 and 1,580.30

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Solution

The fourth proportional to 3,772.02, 5,657.02 and 1,580.30 is: 2,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.02 : 5,657.02 = 1,580.30 : x
  2. Step 2: Convert to fraction form
    3,772.02/5,657.02 = 1,580.30/x
  3. Step 3: Cross multiply
    3,772.02x = 5,657.02 × 1,580.30
  4. Step 4: Simplify right side
    3,772.02x = 8,939,788.71
  5. Step 5: Solve for x
    x = 8,939,788.71/3,772.02
  6. Step 6: Final answer
    x = 2,370.03

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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.