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Finding the Fourth Proportional to 5,970.65, 8,233.99 and 4,059.35

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Solution

The fourth proportional to 5,970.65, 8,233.99 and 4,059.35 is: 5,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.65 : 8,233.99 = 4,059.35 : x
  2. Step 2: Convert to fraction form
    5,970.65/8,233.99 = 4,059.35/x
  3. Step 3: Cross multiply
    5,970.65x = 8,233.99 × 4,059.35
  4. Step 4: Simplify right side
    5,970.65x = 33,424,606.14
  5. Step 5: Solve for x
    x = 33,424,606.14/5,970.65
  6. Step 6: Final answer
    x = 5,598.15

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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.