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Finding the Fourth Proportional to 4,971.64, 6,859.16 and 2,982.88

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Solution

The fourth proportional to 4,971.64, 6,859.16 and 2,982.88 is: 4,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.64 : 6,859.16 = 2,982.88 : x
  2. Step 2: Convert to fraction form
    4,971.64/6,859.16 = 2,982.88/x
  3. Step 3: Cross multiply
    4,971.64x = 6,859.16 × 2,982.88
  4. Step 4: Simplify right side
    4,971.64x = 20,460,051.18
  5. Step 5: Solve for x
    x = 20,460,051.18/4,971.64
  6. Step 6: Final answer
    x = 4,115.35

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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.