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Finding the Fourth Proportional to 5,482.65, 7,585.74 and 4,786.05

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Solution

The fourth proportional to 5,482.65, 7,585.74 and 4,786.05 is: 6,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.65 : 7,585.74 = 4,786.05 : x
  2. Step 2: Convert to fraction form
    5,482.65/7,585.74 = 4,786.05/x
  3. Step 3: Cross multiply
    5,482.65x = 7,585.74 × 4,786.05
  4. Step 4: Simplify right side
    5,482.65x = 36,305,730.93
  5. Step 5: Solve for x
    x = 36,305,730.93/5,482.65
  6. Step 6: Final answer
    x = 6,621.93

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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.