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Finding the Fourth Proportional to 6,577.34, 9,071.60 and 4,219.70

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Solution

The fourth proportional to 6,577.34, 9,071.60 and 4,219.70 is: 5,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.34 : 9,071.60 = 4,219.70 : x
  2. Step 2: Convert to fraction form
    6,577.34/9,071.60 = 4,219.70/x
  3. Step 3: Cross multiply
    6,577.34x = 9,071.60 × 4,219.70
  4. Step 4: Simplify right side
    6,577.34x = 38,279,430.52
  5. Step 5: Solve for x
    x = 38,279,430.52/6,577.34
  6. Step 6: Final answer
    x = 5,819.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.