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Finding the Fourth Proportional to 5,786.53, 7,988.97 and 4,457.68

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Solution

The fourth proportional to 5,786.53, 7,988.97 and 4,457.68 is: 6,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.53 : 7,988.97 = 4,457.68 : x
  2. Step 2: Convert to fraction form
    5,786.53/7,988.97 = 4,457.68/x
  3. Step 3: Cross multiply
    5,786.53x = 7,988.97 × 4,457.68
  4. Step 4: Simplify right side
    5,786.53x = 35,612,271.79
  5. Step 5: Solve for x
    x = 35,612,271.79/5,786.53
  6. Step 6: Final answer
    x = 6,154.34

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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.