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Finding the Fourth Proportional to 3,544.98, 5,316.90 and 948.12

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Solution

The fourth proportional to 3,544.98, 5,316.90 and 948.12 is: 1,422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.98 : 5,316.90 = 948.12 : x
  2. Step 2: Convert to fraction form
    3,544.98/5,316.90 = 948.12/x
  3. Step 3: Cross multiply
    3,544.98x = 5,316.90 × 948.12
  4. Step 4: Simplify right side
    3,544.98x = 5,041,059.23
  5. Step 5: Solve for x
    x = 5,041,059.23/3,544.98
  6. Step 6: Final answer
    x = 1,422.03

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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.