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Finding the Fourth Proportional to 6,002.95, 8,994.93 and 3,664

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Solution

The fourth proportional to 6,002.95, 8,994.93 and 3,664 is: 5,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.95 : 8,994.93 = 3,664 : x
  2. Step 2: Convert to fraction form
    6,002.95/8,994.93 = 3,664/x
  3. Step 3: Cross multiply
    6,002.95x = 8,994.93 × 3,664
  4. Step 4: Simplify right side
    6,002.95x = 32,957,423.52
  5. Step 5: Solve for x
    x = 32,957,423.52/6,002.95
  6. Step 6: Final answer
    x = 5,490.20

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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.