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Finding the Fourth Proportional to 5,748.68, 8,623 and 1,588.68

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Solution

The fourth proportional to 5,748.68, 8,623 and 1,588.68 is: 2,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.68 : 8,623 = 1,588.68 : x
  2. Step 2: Convert to fraction form
    5,748.68/8,623 = 1,588.68/x
  3. Step 3: Cross multiply
    5,748.68x = 8,623 × 1,588.68
  4. Step 4: Simplify right side
    5,748.68x = 13,699,187.64
  5. Step 5: Solve for x
    x = 13,699,187.64/5,748.68
  6. Step 6: Final answer
    x = 2,383.01

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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.