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Finding the Fourth Proportional to 3,735.30, 5,602.95 and 962.03

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Solution

The fourth proportional to 3,735.30, 5,602.95 and 962.03 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.30 : 5,602.95 = 962.03 : x
  2. Step 2: Convert to fraction form
    3,735.30/5,602.95 = 962.03/x
  3. Step 3: Cross multiply
    3,735.30x = 5,602.95 × 962.03
  4. Step 4: Simplify right side
    3,735.30x = 5,390,205.99
  5. Step 5: Solve for x
    x = 5,390,205.99/3,735.30
  6. Step 6: Final answer
    x = 1,443.05

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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.