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Finding the Fourth Proportional to 5,774.07, 7,971.17 and 4,002.60

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Solution

The fourth proportional to 5,774.07, 7,971.17 and 4,002.60 is: 5,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.07 : 7,971.17 = 4,002.60 : x
  2. Step 2: Convert to fraction form
    5,774.07/7,971.17 = 4,002.60/x
  3. Step 3: Cross multiply
    5,774.07x = 7,971.17 × 4,002.60
  4. Step 4: Simplify right side
    5,774.07x = 31,905,405.04
  5. Step 5: Solve for x
    x = 31,905,405.04/5,774.07
  6. Step 6: Final answer
    x = 5,525.64

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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.