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Finding the Fourth Proportional to 4,473.63, 6,714.63 and 2,283.93

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Solution

The fourth proportional to 4,473.63, 6,714.63 and 2,283.93 is: 3,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.63 : 6,714.63 = 2,283.93 : x
  2. Step 2: Convert to fraction form
    4,473.63/6,714.63 = 2,283.93/x
  3. Step 3: Cross multiply
    4,473.63x = 6,714.63 × 2,283.93
  4. Step 4: Simplify right side
    4,473.63x = 15,335,744.90
  5. Step 5: Solve for x
    x = 15,335,744.90/4,473.63
  6. Step 6: Final answer
    x = 3,428.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.