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Finding the Fourth Proportional to 4,715.82, 6,509.36 and 3,040.34

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Solution

The fourth proportional to 4,715.82, 6,509.36 and 3,040.34 is: 4,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.82 : 6,509.36 = 3,040.34 : x
  2. Step 2: Convert to fraction form
    4,715.82/6,509.36 = 3,040.34/x
  3. Step 3: Cross multiply
    4,715.82x = 6,509.36 × 3,040.34
  4. Step 4: Simplify right side
    4,715.82x = 19,790,642.64
  5. Step 5: Solve for x
    x = 19,790,642.64/4,715.82
  6. Step 6: Final answer
    x = 4,196.65

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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.