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Finding the Fourth Proportional to 3,140, 4,714.62 and 1,756.05

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Solution

The fourth proportional to 3,140, 4,714.62 and 1,756.05 is: 2,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140 : 4,714.62 = 1,756.05 : x
  2. Step 2: Convert to fraction form
    3,140/4,714.62 = 1,756.05/x
  3. Step 3: Cross multiply
    3,140x = 4,714.62 × 1,756.05
  4. Step 4: Simplify right side
    3,140x = 8,279,084.88
  5. Step 5: Solve for x
    x = 8,279,084.88/3,140
  6. Step 6: Final answer
    x = 2,636.65

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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.