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Finding the Fourth Proportional to 5,241.76, 7,858.16 and 1,777.12

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Solution

The fourth proportional to 5,241.76, 7,858.16 and 1,777.12 is: 2,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.76 : 7,858.16 = 1,777.12 : x
  2. Step 2: Convert to fraction form
    5,241.76/7,858.16 = 1,777.12/x
  3. Step 3: Cross multiply
    5,241.76x = 7,858.16 × 1,777.12
  4. Step 4: Simplify right side
    5,241.76x = 13,964,893.30
  5. Step 5: Solve for x
    x = 13,964,893.30/5,241.76
  6. Step 6: Final answer
    x = 2,664.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.