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Finding the Fourth Proportional to 4,620.64, 6,932.58 and 2,025.40

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Solution

The fourth proportional to 4,620.64, 6,932.58 and 2,025.40 is: 3,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.64 : 6,932.58 = 2,025.40 : x
  2. Step 2: Convert to fraction form
    4,620.64/6,932.58 = 2,025.40/x
  3. Step 3: Cross multiply
    4,620.64x = 6,932.58 × 2,025.40
  4. Step 4: Simplify right side
    4,620.64x = 14,041,247.53
  5. Step 5: Solve for x
    x = 14,041,247.53/4,620.64
  6. Step 6: Final answer
    x = 3,038.81

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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.