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Finding the Fourth Proportional to 5,888.26, 8,832.32 and 1,505.64

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Solution

The fourth proportional to 5,888.26, 8,832.32 and 1,505.64 is: 2,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.26 : 8,832.32 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    5,888.26/8,832.32 = 1,505.64/x
  3. Step 3: Cross multiply
    5,888.26x = 8,832.32 × 1,505.64
  4. Step 4: Simplify right side
    5,888.26x = 13,298,294.28
  5. Step 5: Solve for x
    x = 13,298,294.28/5,888.26
  6. Step 6: Final answer
    x = 2,258.44

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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.