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Finding the Fourth Proportional to 4,289.96, 6,430.74 and 2,068.18

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Solution

The fourth proportional to 4,289.96, 6,430.74 and 2,068.18 is: 3,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.96 : 6,430.74 = 2,068.18 : x
  2. Step 2: Convert to fraction form
    4,289.96/6,430.74 = 2,068.18/x
  3. Step 3: Cross multiply
    4,289.96x = 6,430.74 × 2,068.18
  4. Step 4: Simplify right side
    4,289.96x = 13,299,951.83
  5. Step 5: Solve for x
    x = 13,299,951.83/4,289.96
  6. Step 6: Final answer
    x = 3,100.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.