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Finding the Fourth Proportional to 5,735.30, 8,557.05 and 5,111.60

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Solution

The fourth proportional to 5,735.30, 8,557.05 and 5,111.60 is: 7,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.30 : 8,557.05 = 5,111.60 : x
  2. Step 2: Convert to fraction form
    5,735.30/8,557.05 = 5,111.60/x
  3. Step 3: Cross multiply
    5,735.30x = 8,557.05 × 5,111.60
  4. Step 4: Simplify right side
    5,735.30x = 43,740,191.22
  5. Step 5: Solve for x
    x = 43,740,191.22/5,735.30
  6. Step 6: Final answer
    x = 7,626.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.