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Finding the Fourth Proportional to 4,714.22, 7,071.35 and 1,594.25

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Solution

The fourth proportional to 4,714.22, 7,071.35 and 1,594.25 is: 2,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.22 : 7,071.35 = 1,594.25 : x
  2. Step 2: Convert to fraction form
    4,714.22/7,071.35 = 1,594.25/x
  3. Step 3: Cross multiply
    4,714.22x = 7,071.35 × 1,594.25
  4. Step 4: Simplify right side
    4,714.22x = 11,273,499.74
  5. Step 5: Solve for x
    x = 11,273,499.74/4,714.22
  6. Step 6: Final answer
    x = 2,391.38

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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.