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Finding the Fourth Proportional to 4,138.95, 5,714.75 and 2,547.75

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Solution

The fourth proportional to 4,138.95, 5,714.75 and 2,547.75 is: 3,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.95 : 5,714.75 = 2,547.75 : x
  2. Step 2: Convert to fraction form
    4,138.95/5,714.75 = 2,547.75/x
  3. Step 3: Cross multiply
    4,138.95x = 5,714.75 × 2,547.75
  4. Step 4: Simplify right side
    4,138.95x = 14,559,741.57
  5. Step 5: Solve for x
    x = 14,559,741.57/4,138.95
  6. Step 6: Final answer
    x = 3,517.74

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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.