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Finding the Fourth Proportional to 5,644.80, 8,464.73 and 1,748.29

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Solution

The fourth proportional to 5,644.80, 8,464.73 and 1,748.29 is: 2,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.80 : 8,464.73 = 1,748.29 : x
  2. Step 2: Convert to fraction form
    5,644.80/8,464.73 = 1,748.29/x
  3. Step 3: Cross multiply
    5,644.80x = 8,464.73 × 1,748.29
  4. Step 4: Simplify right side
    5,644.80x = 14,798,802.81
  5. Step 5: Solve for x
    x = 14,798,802.81/5,644.80
  6. Step 6: Final answer
    x = 2,621.67

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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.