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Finding the Fourth Proportional to 5,639.59, 8,457.08 and 1,689.46

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Solution

The fourth proportional to 5,639.59, 8,457.08 and 1,689.46 is: 2,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.59 : 8,457.08 = 1,689.46 : x
  2. Step 2: Convert to fraction form
    5,639.59/8,457.08 = 1,689.46/x
  3. Step 3: Cross multiply
    5,639.59x = 8,457.08 × 1,689.46
  4. Step 4: Simplify right side
    5,639.59x = 14,287,868.79
  5. Step 5: Solve for x
    x = 14,287,868.79/5,639.59
  6. Step 6: Final answer
    x = 2,533.49

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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.