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Finding the Fourth Proportional to 5,159.99, 7,743.42 and 4,465.62

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Solution

The fourth proportional to 5,159.99, 7,743.42 and 4,465.62 is: 6,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.99 : 7,743.42 = 4,465.62 : x
  2. Step 2: Convert to fraction form
    5,159.99/7,743.42 = 4,465.62/x
  3. Step 3: Cross multiply
    5,159.99x = 7,743.42 × 4,465.62
  4. Step 4: Simplify right side
    5,159.99x = 34,579,171.22
  5. Step 5: Solve for x
    x = 34,579,171.22/5,159.99
  6. Step 6: Final answer
    x = 6,701.41

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1.5x scale

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.