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Finding the Fourth Proportional to 5,419.42, 8,123.82 and 2,645.98

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Solution

The fourth proportional to 5,419.42, 8,123.82 and 2,645.98 is: 3,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.42 : 8,123.82 = 2,645.98 : x
  2. Step 2: Convert to fraction form
    5,419.42/8,123.82 = 2,645.98/x
  3. Step 3: Cross multiply
    5,419.42x = 8,123.82 × 2,645.98
  4. Step 4: Simplify right side
    5,419.42x = 21,495,465.24
  5. Step 5: Solve for x
    x = 21,495,465.24/5,419.42
  6. Step 6: Final answer
    x = 3,966.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.