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Finding the Fourth Proportional to 5,748.96, 8,623.13 and 1,589.00

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Solution

The fourth proportional to 5,748.96, 8,623.13 and 1,589.00 is: 2,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.96 : 8,623.13 = 1,589.00 : x
  2. Step 2: Convert to fraction form
    5,748.96/8,623.13 = 1,589.00/x
  3. Step 3: Cross multiply
    5,748.96x = 8,623.13 × 1,589.00
  4. Step 4: Simplify right side
    5,748.96x = 13,702,102.51
  5. Step 5: Solve for x
    x = 13,702,102.51/5,748.96
  6. Step 6: Final answer
    x = 2,383.41

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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.