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Finding the Fourth Proportional to 5,004, 7,506.02 and 1,356

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Solution

The fourth proportional to 5,004, 7,506.02 and 1,356 is: 2,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004 : 7,506.02 = 1,356 : x
  2. Step 2: Convert to fraction form
    5,004/7,506.02 = 1,356/x
  3. Step 3: Cross multiply
    5,004x = 7,506.02 × 1,356
  4. Step 4: Simplify right side
    5,004x = 10,178,163.12
  5. Step 5: Solve for x
    x = 10,178,163.12/5,004
  6. Step 6: Final answer
    x = 2,034.01

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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.