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Finding the Fourth Proportional to 3,746.44, 5,619.64 and 973.12

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Solution

The fourth proportional to 3,746.44, 5,619.64 and 973.12 is: 1,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.44 : 5,619.64 = 973.12 : x
  2. Step 2: Convert to fraction form
    3,746.44/5,619.64 = 973.12/x
  3. Step 3: Cross multiply
    3,746.44x = 5,619.64 × 973.12
  4. Step 4: Simplify right side
    3,746.44x = 5,468,584.08
  5. Step 5: Solve for x
    x = 5,468,584.08/3,746.44
  6. Step 6: Final answer
    x = 1,459.67

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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.