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Finding the Fourth Proportional to 5,794.67, 7,985.61 and 5,688.05

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Solution

The fourth proportional to 5,794.67, 7,985.61 and 5,688.05 is: 7,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.67 : 7,985.61 = 5,688.05 : x
  2. Step 2: Convert to fraction form
    5,794.67/7,985.61 = 5,688.05/x
  3. Step 3: Cross multiply
    5,794.67x = 7,985.61 × 5,688.05
  4. Step 4: Simplify right side
    5,794.67x = 45,422,509.03
  5. Step 5: Solve for x
    x = 45,422,509.03/5,794.67
  6. Step 6: Final answer
    x = 7,838.67

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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.