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Finding the Fourth Proportional to 4,733.64, 7,099.92 and 4,038.66

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Solution

The fourth proportional to 4,733.64, 7,099.92 and 4,038.66 is: 6,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.64 : 7,099.92 = 4,038.66 : x
  2. Step 2: Convert to fraction form
    4,733.64/7,099.92 = 4,038.66/x
  3. Step 3: Cross multiply
    4,733.64x = 7,099.92 × 4,038.66
  4. Step 4: Simplify right side
    4,733.64x = 28,674,162.91
  5. Step 5: Solve for x
    x = 28,674,162.91/4,733.64
  6. Step 6: Final answer
    x = 6,057.53

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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.