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Finding the Fourth Proportional to 4,897.02, 7,340 and 2,433.60

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Solution

The fourth proportional to 4,897.02, 7,340 and 2,433.60 is: 3,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.02 : 7,340 = 2,433.60 : x
  2. Step 2: Convert to fraction form
    4,897.02/7,340 = 2,433.60/x
  3. Step 3: Cross multiply
    4,897.02x = 7,340 × 2,433.60
  4. Step 4: Simplify right side
    4,897.02x = 17,862,624
  5. Step 5: Solve for x
    x = 17,862,624/4,897.02
  6. Step 6: Final answer
    x = 3,647.65

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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.