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Finding the Fourth Proportional to 5,401.74, 8,102.58 and 1,506

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Solution

The fourth proportional to 5,401.74, 8,102.58 and 1,506 is: 2,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.74 : 8,102.58 = 1,506 : x
  2. Step 2: Convert to fraction form
    5,401.74/8,102.58 = 1,506/x
  3. Step 3: Cross multiply
    5,401.74x = 8,102.58 × 1,506
  4. Step 4: Simplify right side
    5,401.74x = 12,202,485.48
  5. Step 5: Solve for x
    x = 12,202,485.48/5,401.74
  6. Step 6: Final answer
    x = 2,258.99

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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.