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Finding the Fourth Proportional to 3,005.86, 4,507.71 and 1,156.03

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Solution

The fourth proportional to 3,005.86, 4,507.71 and 1,156.03 is: 1,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.86 : 4,507.71 = 1,156.03 : x
  2. Step 2: Convert to fraction form
    3,005.86/4,507.71 = 1,156.03/x
  3. Step 3: Cross multiply
    3,005.86x = 4,507.71 × 1,156.03
  4. Step 4: Simplify right side
    3,005.86x = 5,211,047.99
  5. Step 5: Solve for x
    x = 5,211,047.99/3,005.86
  6. Step 6: Final answer
    x = 1,733.63

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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.