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Finding the Fourth Proportional to 5,852.88, 8,069.52 and 3,494.16

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Solution

The fourth proportional to 5,852.88, 8,069.52 and 3,494.16 is: 4,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.88 : 8,069.52 = 3,494.16 : x
  2. Step 2: Convert to fraction form
    5,852.88/8,069.52 = 3,494.16/x
  3. Step 3: Cross multiply
    5,852.88x = 8,069.52 × 3,494.16
  4. Step 4: Simplify right side
    5,852.88x = 28,196,194.00
  5. Step 5: Solve for x
    x = 28,196,194.00/5,852.88
  6. Step 6: Final answer
    x = 4,817.49

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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.