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Finding the Fourth Proportional to 4,191, 5,783.46 and 2,302.50

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Solution

The fourth proportional to 4,191, 5,783.46 and 2,302.50 is: 3,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 5,783.46 = 2,302.50 : x
  2. Step 2: Convert to fraction form
    4,191/5,783.46 = 2,302.50/x
  3. Step 3: Cross multiply
    4,191x = 5,783.46 × 2,302.50
  4. Step 4: Simplify right side
    4,191x = 13,316,416.65
  5. Step 5: Solve for x
    x = 13,316,416.65/4,191
  6. Step 6: Final answer
    x = 3,177.38

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1.5x scale

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.