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Finding the Fourth Proportional to 4,242, 6,364.02 and 1,320.12

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Solution

The fourth proportional to 4,242, 6,364.02 and 1,320.12 is: 1,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 6,364.02 = 1,320.12 : x
  2. Step 2: Convert to fraction form
    4,242/6,364.02 = 1,320.12/x
  3. Step 3: Cross multiply
    4,242x = 6,364.02 × 1,320.12
  4. Step 4: Simplify right side
    4,242x = 8,401,270.08
  5. Step 5: Solve for x
    x = 8,401,270.08/4,242
  6. Step 6: Final answer
    x = 1,980.50

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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.