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Finding the Fourth Proportional to 5,849.88, 8,069.58 and 3,491.64

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Solution

The fourth proportional to 5,849.88, 8,069.58 and 3,491.64 is: 4,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.88 : 8,069.58 = 3,491.64 : x
  2. Step 2: Convert to fraction form
    5,849.88/8,069.58 = 3,491.64/x
  3. Step 3: Cross multiply
    5,849.88x = 8,069.58 × 3,491.64
  4. Step 4: Simplify right side
    5,849.88x = 28,176,068.31
  5. Step 5: Solve for x
    x = 28,176,068.31/5,849.88
  6. Step 6: Final answer
    x = 4,816.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.