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Finding the Fourth Proportional to 5,798.40, 8,692.96 and 3,023.68

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Solution

The fourth proportional to 5,798.40, 8,692.96 and 3,023.68 is: 4,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.40 : 8,692.96 = 3,023.68 : x
  2. Step 2: Convert to fraction form
    5,798.40/8,692.96 = 3,023.68/x
  3. Step 3: Cross multiply
    5,798.40x = 8,692.96 × 3,023.68
  4. Step 4: Simplify right side
    5,798.40x = 26,284,729.29
  5. Step 5: Solve for x
    x = 26,284,729.29/5,798.40
  6. Step 6: Final answer
    x = 4,533.10

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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.