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Finding the Fourth Proportional to 3,880.58, 5,823.15 and 1,415.35

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Solution

The fourth proportional to 3,880.58, 5,823.15 and 1,415.35 is: 2,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.58 : 5,823.15 = 1,415.35 : x
  2. Step 2: Convert to fraction form
    3,880.58/5,823.15 = 1,415.35/x
  3. Step 3: Cross multiply
    3,880.58x = 5,823.15 × 1,415.35
  4. Step 4: Simplify right side
    3,880.58x = 8,241,795.35
  5. Step 5: Solve for x
    x = 8,241,795.35/3,880.58
  6. Step 6: Final answer
    x = 2,123.86

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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.