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Finding the Fourth Proportional to 3,438.65, 5,158.83 and 973.46

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Solution

The fourth proportional to 3,438.65, 5,158.83 and 973.46 is: 1,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.65 : 5,158.83 = 973.46 : x
  2. Step 2: Convert to fraction form
    3,438.65/5,158.83 = 973.46/x
  3. Step 3: Cross multiply
    3,438.65x = 5,158.83 × 973.46
  4. Step 4: Simplify right side
    3,438.65x = 5,021,914.65
  5. Step 5: Solve for x
    x = 5,021,914.65/3,438.65
  6. Step 6: Final answer
    x = 1,460.43

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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.