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Finding the Fourth Proportional to 4,715.84, 7,039.18 and 4,162.34

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Solution

The fourth proportional to 4,715.84, 7,039.18 and 4,162.34 is: 6,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.84 : 7,039.18 = 4,162.34 : x
  2. Step 2: Convert to fraction form
    4,715.84/7,039.18 = 4,162.34/x
  3. Step 3: Cross multiply
    4,715.84x = 7,039.18 × 4,162.34
  4. Step 4: Simplify right side
    4,715.84x = 29,299,460.48
  5. Step 5: Solve for x
    x = 29,299,460.48/4,715.84
  6. Step 6: Final answer
    x = 6,212.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.