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Finding the Fourth Proportional to 5,973.72, 8,244.72 and 4,977.42

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Solution

The fourth proportional to 5,973.72, 8,244.72 and 4,977.42 is: 6,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.72 : 8,244.72 = 4,977.42 : x
  2. Step 2: Convert to fraction form
    5,973.72/8,244.72 = 4,977.42/x
  3. Step 3: Cross multiply
    5,973.72x = 8,244.72 × 4,977.42
  4. Step 4: Simplify right side
    5,973.72x = 41,037,434.22
  5. Step 5: Solve for x
    x = 41,037,434.22/5,973.72
  6. Step 6: Final answer
    x = 6,869.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.