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Finding the Fourth Proportional to 4,714.30, 7,071.90 and 4,650.34

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Solution

The fourth proportional to 4,714.30, 7,071.90 and 4,650.34 is: 6,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.30 : 7,071.90 = 4,650.34 : x
  2. Step 2: Convert to fraction form
    4,714.30/7,071.90 = 4,650.34/x
  3. Step 3: Cross multiply
    4,714.30x = 7,071.90 × 4,650.34
  4. Step 4: Simplify right side
    4,714.30x = 32,886,739.45
  5. Step 5: Solve for x
    x = 32,886,739.45/4,714.30
  6. Step 6: Final answer
    x = 6,975.95

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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.