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Finding the Fourth Proportional to 3,915.40, 5,873.03 and 1,318.34

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Solution

The fourth proportional to 3,915.40, 5,873.03 and 1,318.34 is: 1,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.40 : 5,873.03 = 1,318.34 : x
  2. Step 2: Convert to fraction form
    3,915.40/5,873.03 = 1,318.34/x
  3. Step 3: Cross multiply
    3,915.40x = 5,873.03 × 1,318.34
  4. Step 4: Simplify right side
    3,915.40x = 7,742,650.37
  5. Step 5: Solve for x
    x = 7,742,650.37/3,915.40
  6. Step 6: Final answer
    x = 1,977.49

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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.