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Finding the Fourth Proportional to 5,788.42, 8,001.14 and 5,329.14

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Solution

The fourth proportional to 5,788.42, 8,001.14 and 5,329.14 is: 7,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.42 : 8,001.14 = 5,329.14 : x
  2. Step 2: Convert to fraction form
    5,788.42/8,001.14 = 5,329.14/x
  3. Step 3: Cross multiply
    5,788.42x = 8,001.14 × 5,329.14
  4. Step 4: Simplify right side
    5,788.42x = 42,639,195.22
  5. Step 5: Solve for x
    x = 42,639,195.22/5,788.42
  6. Step 6: Final answer
    x = 7,366.29

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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.