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Finding the Fourth Proportional to 4,714.48, 6,504.33 and 2,945.44

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Solution

The fourth proportional to 4,714.48, 6,504.33 and 2,945.44 is: 4,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.48 : 6,504.33 = 2,945.44 : x
  2. Step 2: Convert to fraction form
    4,714.48/6,504.33 = 2,945.44/x
  3. Step 3: Cross multiply
    4,714.48x = 6,504.33 × 2,945.44
  4. Step 4: Simplify right side
    4,714.48x = 19,158,113.76
  5. Step 5: Solve for x
    x = 19,158,113.76/4,714.48
  6. Step 6: Final answer
    x = 4,063.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.