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Finding the Fourth Proportional to 3,970.89, 5,957.63 and 2,859.40

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Solution

The fourth proportional to 3,970.89, 5,957.63 and 2,859.40 is: 4,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.89 : 5,957.63 = 2,859.40 : x
  2. Step 2: Convert to fraction form
    3,970.89/5,957.63 = 2,859.40/x
  3. Step 3: Cross multiply
    3,970.89x = 5,957.63 × 2,859.40
  4. Step 4: Simplify right side
    3,970.89x = 17,035,225.63
  5. Step 5: Solve for x
    x = 17,035,225.63/3,970.89
  6. Step 6: Final answer
    x = 4,290.03

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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.