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Finding the Fourth Proportional to 5,775.72, 7,971.54 and 3,419.04

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Solution

The fourth proportional to 5,775.72, 7,971.54 and 3,419.04 is: 4,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.72 : 7,971.54 = 3,419.04 : x
  2. Step 2: Convert to fraction form
    5,775.72/7,971.54 = 3,419.04/x
  3. Step 3: Cross multiply
    5,775.72x = 7,971.54 × 3,419.04
  4. Step 4: Simplify right side
    5,775.72x = 27,255,014.12
  5. Step 5: Solve for x
    x = 27,255,014.12/5,775.72
  6. Step 6: Final answer
    x = 4,718.89

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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.