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Finding the Fourth Proportional to 4,663.02, 6,995.74 and 2,065.34

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Solution

The fourth proportional to 4,663.02, 6,995.74 and 2,065.34 is: 3,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.02 : 6,995.74 = 2,065.34 : x
  2. Step 2: Convert to fraction form
    4,663.02/6,995.74 = 2,065.34/x
  3. Step 3: Cross multiply
    4,663.02x = 6,995.74 × 2,065.34
  4. Step 4: Simplify right side
    4,663.02x = 14,448,581.65
  5. Step 5: Solve for x
    x = 14,448,581.65/4,663.02
  6. Step 6: Final answer
    x = 3,098.55

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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.