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Finding the Fourth Proportional to 4,711.51, 6,502.73 and 3,522.47

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Solution

The fourth proportional to 4,711.51, 6,502.73 and 3,522.47 is: 4,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.51 : 6,502.73 = 3,522.47 : x
  2. Step 2: Convert to fraction form
    4,711.51/6,502.73 = 3,522.47/x
  3. Step 3: Cross multiply
    4,711.51x = 6,502.73 × 3,522.47
  4. Step 4: Simplify right side
    4,711.51x = 22,905,621.22
  5. Step 5: Solve for x
    x = 22,905,621.22/4,711.51
  6. Step 6: Final answer
    x = 4,861.63

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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.