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Finding the Fourth Proportional to 5,670.44, 8,501 and 2,505.64

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Solution

The fourth proportional to 5,670.44, 8,501 and 2,505.64 is: 3,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.44 : 8,501 = 2,505.64 : x
  2. Step 2: Convert to fraction form
    5,670.44/8,501 = 2,505.64/x
  3. Step 3: Cross multiply
    5,670.44x = 8,501 × 2,505.64
  4. Step 4: Simplify right side
    5,670.44x = 21,300,445.64
  5. Step 5: Solve for x
    x = 21,300,445.64/5,670.44
  6. Step 6: Final answer
    x = 3,756.40

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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.