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Finding the Fourth Proportional to 5,690.63, 7,852.06 and 4,199.83

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Solution

The fourth proportional to 5,690.63, 7,852.06 and 4,199.83 is: 5,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.63 : 7,852.06 = 4,199.83 : x
  2. Step 2: Convert to fraction form
    5,690.63/7,852.06 = 4,199.83/x
  3. Step 3: Cross multiply
    5,690.63x = 7,852.06 × 4,199.83
  4. Step 4: Simplify right side
    5,690.63x = 32,977,317.15
  5. Step 5: Solve for x
    x = 32,977,317.15/5,690.63
  6. Step 6: Final answer
    x = 5,795.02

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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.