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Finding the Fourth Proportional to 5,796.84, 8,678.70 and 5,429.01

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Solution

The fourth proportional to 5,796.84, 8,678.70 and 5,429.01 is: 8,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.84 : 8,678.70 = 5,429.01 : x
  2. Step 2: Convert to fraction form
    5,796.84/8,678.70 = 5,429.01/x
  3. Step 3: Cross multiply
    5,796.84x = 8,678.70 × 5,429.01
  4. Step 4: Simplify right side
    5,796.84x = 47,116,749.09
  5. Step 5: Solve for x
    x = 47,116,749.09/5,796.84
  6. Step 6: Final answer
    x = 8,128.01

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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.