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Finding the Fourth Proportional to 5,509.34, 7,602.80 and 3,119.76

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Solution

The fourth proportional to 5,509.34, 7,602.80 and 3,119.76 is: 4,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.34 : 7,602.80 = 3,119.76 : x
  2. Step 2: Convert to fraction form
    5,509.34/7,602.80 = 3,119.76/x
  3. Step 3: Cross multiply
    5,509.34x = 7,602.80 × 3,119.76
  4. Step 4: Simplify right side
    5,509.34x = 23,718,895.73
  5. Step 5: Solve for x
    x = 23,718,895.73/5,509.34
  6. Step 6: Final answer
    x = 4,305.22

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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.