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Finding the Fourth Proportional to 5,670.56, 8,506.75 and 1,973.84

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Solution

The fourth proportional to 5,670.56, 8,506.75 and 1,973.84 is: 2,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.56 : 8,506.75 = 1,973.84 : x
  2. Step 2: Convert to fraction form
    5,670.56/8,506.75 = 1,973.84/x
  3. Step 3: Cross multiply
    5,670.56x = 8,506.75 × 1,973.84
  4. Step 4: Simplify right side
    5,670.56x = 16,790,963.42
  5. Step 5: Solve for x
    x = 16,790,963.42/5,670.56
  6. Step 6: Final answer
    x = 2,961.08

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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.