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Finding the Fourth Proportional to 4,886.48, 6,742.32 and 3,116.96

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Solution

The fourth proportional to 4,886.48, 6,742.32 and 3,116.96 is: 4,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.48 : 6,742.32 = 3,116.96 : x
  2. Step 2: Convert to fraction form
    4,886.48/6,742.32 = 3,116.96/x
  3. Step 3: Cross multiply
    4,886.48x = 6,742.32 × 3,116.96
  4. Step 4: Simplify right side
    4,886.48x = 21,015,541.75
  5. Step 5: Solve for x
    x = 21,015,541.75/4,886.48
  6. Step 6: Final answer
    x = 4,300.75

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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.