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Finding the Fourth Proportional to 5,794.61, 7,987.23 and 4,533.65

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Solution

The fourth proportional to 5,794.61, 7,987.23 and 4,533.65 is: 6,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.61 : 7,987.23 = 4,533.65 : x
  2. Step 2: Convert to fraction form
    5,794.61/7,987.23 = 4,533.65/x
  3. Step 3: Cross multiply
    5,794.61x = 7,987.23 × 4,533.65
  4. Step 4: Simplify right side
    5,794.61x = 36,211,265.35
  5. Step 5: Solve for x
    x = 36,211,265.35/5,794.61
  6. Step 6: Final answer
    x = 6,249.13

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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.