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Finding the Fourth Proportional to 4,598.46, 6,899.94 and 1,965.24

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Solution

The fourth proportional to 4,598.46, 6,899.94 and 1,965.24 is: 2,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.46 : 6,899.94 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    4,598.46/6,899.94 = 1,965.24/x
  3. Step 3: Cross multiply
    4,598.46x = 6,899.94 × 1,965.24
  4. Step 4: Simplify right side
    4,598.46x = 13,560,038.09
  5. Step 5: Solve for x
    x = 13,560,038.09/4,598.46
  6. Step 6: Final answer
    x = 2,948.82

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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.