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Finding the Fourth Proportional to 6,109.60, 8,430.16 and 3,592.22

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Solution

The fourth proportional to 6,109.60, 8,430.16 and 3,592.22 is: 4,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.60 : 8,430.16 = 3,592.22 : x
  2. Step 2: Convert to fraction form
    6,109.60/8,430.16 = 3,592.22/x
  3. Step 3: Cross multiply
    6,109.60x = 8,430.16 × 3,592.22
  4. Step 4: Simplify right side
    6,109.60x = 30,282,974.18
  5. Step 5: Solve for x
    x = 30,282,974.18/6,109.60
  6. Step 6: Final answer
    x = 4,956.62

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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.