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Finding the Fourth Proportional to 4,242.86, 6,396.85 and 3,957.00

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Solution

The fourth proportional to 4,242.86, 6,396.85 and 3,957.00 is: 5,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.86 : 6,396.85 = 3,957.00 : x
  2. Step 2: Convert to fraction form
    4,242.86/6,396.85 = 3,957.00/x
  3. Step 3: Cross multiply
    4,242.86x = 6,396.85 × 3,957.00
  4. Step 4: Simplify right side
    4,242.86x = 25,312,341.26
  5. Step 5: Solve for x
    x = 25,312,341.26/4,242.86
  6. Step 6: Final answer
    x = 5,965.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.