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Finding the Fourth Proportional to 4,620.65, 6,384.62 and 4,030.16

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Solution

The fourth proportional to 4,620.65, 6,384.62 and 4,030.16 is: 5,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.65 : 6,384.62 = 4,030.16 : x
  2. Step 2: Convert to fraction form
    4,620.65/6,384.62 = 4,030.16/x
  3. Step 3: Cross multiply
    4,620.65x = 6,384.62 × 4,030.16
  4. Step 4: Simplify right side
    4,620.65x = 25,731,018.29
  5. Step 5: Solve for x
    x = 25,731,018.29/4,620.65
  6. Step 6: Final answer
    x = 5,568.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.