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Finding the Fourth Proportional to 4,606.34, 6,916 and 4,397.36

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Solution

The fourth proportional to 4,606.34, 6,916 and 4,397.36 is: 6,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.34 : 6,916 = 4,397.36 : x
  2. Step 2: Convert to fraction form
    4,606.34/6,916 = 4,397.36/x
  3. Step 3: Cross multiply
    4,606.34x = 6,916 × 4,397.36
  4. Step 4: Simplify right side
    4,606.34x = 30,412,141.76
  5. Step 5: Solve for x
    x = 30,412,141.76/4,606.34
  6. Step 6: Final answer
    x = 6,602.24

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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.