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Finding the Fourth Proportional to 3,756.04, 5,630.08 and 1,415.03

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Solution

The fourth proportional to 3,756.04, 5,630.08 and 1,415.03 is: 2,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.04 : 5,630.08 = 1,415.03 : x
  2. Step 2: Convert to fraction form
    3,756.04/5,630.08 = 1,415.03/x
  3. Step 3: Cross multiply
    3,756.04x = 5,630.08 × 1,415.03
  4. Step 4: Simplify right side
    3,756.04x = 7,966,709.22
  5. Step 5: Solve for x
    x = 7,966,709.22/3,756.04
  6. Step 6: Final answer
    x = 2,121.04

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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.