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Finding the Fourth Proportional to 3,529.86, 5,284.53 and 3,059.93

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Solution

The fourth proportional to 3,529.86, 5,284.53 and 3,059.93 is: 4,581.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.86 : 5,284.53 = 3,059.93 : x
  2. Step 2: Convert to fraction form
    3,529.86/5,284.53 = 3,059.93/x
  3. Step 3: Cross multiply
    3,529.86x = 5,284.53 × 3,059.93
  4. Step 4: Simplify right side
    3,529.86x = 16,170,291.88
  5. Step 5: Solve for x
    x = 16,170,291.88/3,529.86
  6. Step 6: Final answer
    x = 4,581.00

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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.