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Finding the Fourth Proportional to 3,143.20, 4,714.64 and 1,064.20

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Solution

The fourth proportional to 3,143.20, 4,714.64 and 1,064.20 is: 1,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.20 : 4,714.64 = 1,064.20 : x
  2. Step 2: Convert to fraction form
    3,143.20/4,714.64 = 1,064.20/x
  3. Step 3: Cross multiply
    3,143.20x = 4,714.64 × 1,064.20
  4. Step 4: Simplify right side
    3,143.20x = 5,017,319.89
  5. Step 5: Solve for x
    x = 5,017,319.89/3,143.20
  6. Step 6: Final answer
    x = 1,596.25

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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.