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Finding the Fourth Proportional to 5,047.75, 7,571.69 and 1,585

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Solution

The fourth proportional to 5,047.75, 7,571.69 and 1,585 is: 2,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.75 : 7,571.69 = 1,585 : x
  2. Step 2: Convert to fraction form
    5,047.75/7,571.69 = 1,585/x
  3. Step 3: Cross multiply
    5,047.75x = 7,571.69 × 1,585
  4. Step 4: Simplify right side
    5,047.75x = 12,001,128.65
  5. Step 5: Solve for x
    x = 12,001,128.65/5,047.75
  6. Step 6: Final answer
    x = 2,377.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.