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Finding the Fourth Proportional to 4,463.04, 6,695.04 and 1,689.60

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Solution

The fourth proportional to 4,463.04, 6,695.04 and 1,689.60 is: 2,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.04 : 6,695.04 = 1,689.60 : x
  2. Step 2: Convert to fraction form
    4,463.04/6,695.04 = 1,689.60/x
  3. Step 3: Cross multiply
    4,463.04x = 6,695.04 × 1,689.60
  4. Step 4: Simplify right side
    4,463.04x = 11,311,939.58
  5. Step 5: Solve for x
    x = 11,311,939.58/4,463.04
  6. Step 6: Final answer
    x = 2,534.58

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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.