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Finding the Fourth Proportional to 5,787.14, 8,672.40 and 3,594.60

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Solution

The fourth proportional to 5,787.14, 8,672.40 and 3,594.60 is: 5,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.14 : 8,672.40 = 3,594.60 : x
  2. Step 2: Convert to fraction form
    5,787.14/8,672.40 = 3,594.60/x
  3. Step 3: Cross multiply
    5,787.14x = 8,672.40 × 3,594.60
  4. Step 4: Simplify right side
    5,787.14x = 31,173,809.04
  5. Step 5: Solve for x
    x = 31,173,809.04/5,787.14
  6. Step 6: Final answer
    x = 5,386.74

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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.