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Finding the Fourth Proportional to 3,430.79, 4,734.73 and 2,086.93

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Solution

The fourth proportional to 3,430.79, 4,734.73 and 2,086.93 is: 2,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.79 : 4,734.73 = 2,086.93 : x
  2. Step 2: Convert to fraction form
    3,430.79/4,734.73 = 2,086.93/x
  3. Step 3: Cross multiply
    3,430.79x = 4,734.73 × 2,086.93
  4. Step 4: Simplify right side
    3,430.79x = 9,881,033.02
  5. Step 5: Solve for x
    x = 9,881,033.02/3,430.79
  6. Step 6: Final answer
    x = 2,880.10

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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.