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Finding the Fourth Proportional to 5,671.42, 8,507.53 and 1,511.40

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Solution

The fourth proportional to 5,671.42, 8,507.53 and 1,511.40 is: 2,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.42 : 8,507.53 = 1,511.40 : x
  2. Step 2: Convert to fraction form
    5,671.42/8,507.53 = 1,511.40/x
  3. Step 3: Cross multiply
    5,671.42x = 8,507.53 × 1,511.40
  4. Step 4: Simplify right side
    5,671.42x = 12,858,314.63
  5. Step 5: Solve for x
    x = 12,858,314.63/5,671.42
  6. Step 6: Final answer
    x = 2,267.21

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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.