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Finding the Fourth Proportional to 5,794.22, 8,648.91 and 4,977.74

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Solution

The fourth proportional to 5,794.22, 8,648.91 and 4,977.74 is: 7,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.22 : 8,648.91 = 4,977.74 : x
  2. Step 2: Convert to fraction form
    5,794.22/8,648.91 = 4,977.74/x
  3. Step 3: Cross multiply
    5,794.22x = 8,648.91 × 4,977.74
  4. Step 4: Simplify right side
    5,794.22x = 43,051,982.02
  5. Step 5: Solve for x
    x = 43,051,982.02/5,794.22
  6. Step 6: Final answer
    x = 7,430.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.