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Finding the Fourth Proportional to 5,748.40, 8,622.80 and 1,588.72

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Solution

The fourth proportional to 5,748.40, 8,622.80 and 1,588.72 is: 2,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.40 : 8,622.80 = 1,588.72 : x
  2. Step 2: Convert to fraction form
    5,748.40/8,622.80 = 1,588.72/x
  3. Step 3: Cross multiply
    5,748.40x = 8,622.80 × 1,588.72
  4. Step 4: Simplify right side
    5,748.40x = 13,699,214.82
  5. Step 5: Solve for x
    x = 13,699,214.82/5,748.40
  6. Step 6: Final answer
    x = 2,383.14

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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.