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Finding the Fourth Proportional to 4,347.56, 6,514.14 and 2,035.88

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Solution

The fourth proportional to 4,347.56, 6,514.14 and 2,035.88 is: 3,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.56 : 6,514.14 = 2,035.88 : x
  2. Step 2: Convert to fraction form
    4,347.56/6,514.14 = 2,035.88/x
  3. Step 3: Cross multiply
    4,347.56x = 6,514.14 × 2,035.88
  4. Step 4: Simplify right side
    4,347.56x = 13,262,007.34
  5. Step 5: Solve for x
    x = 13,262,007.34/4,347.56
  6. Step 6: Final answer
    x = 3,050.45

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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.