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Finding the Fourth Proportional to 5,402.40, 8,102.64 and 1,505.84

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Solution

The fourth proportional to 5,402.40, 8,102.64 and 1,505.84 is: 2,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.40 : 8,102.64 = 1,505.84 : x
  2. Step 2: Convert to fraction form
    5,402.40/8,102.64 = 1,505.84/x
  3. Step 3: Cross multiply
    5,402.40x = 8,102.64 × 1,505.84
  4. Step 4: Simplify right side
    5,402.40x = 12,201,279.42
  5. Step 5: Solve for x
    x = 12,201,279.42/5,402.40
  6. Step 6: Final answer
    x = 2,258.49

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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.