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Finding the Fourth Proportional to 4,714.24, 7,070.52 and 2,082.28

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Solution

The fourth proportional to 4,714.24, 7,070.52 and 2,082.28 is: 3,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.24 : 7,070.52 = 2,082.28 : x
  2. Step 2: Convert to fraction form
    4,714.24/7,070.52 = 2,082.28/x
  3. Step 3: Cross multiply
    4,714.24x = 7,070.52 × 2,082.28
  4. Step 4: Simplify right side
    4,714.24x = 14,722,802.39
  5. Step 5: Solve for x
    x = 14,722,802.39/4,714.24
  6. Step 6: Final answer
    x = 3,123.05

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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.