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Finding the Fourth Proportional to 3,541.50, 5,312.30 and 944.46

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Solution

The fourth proportional to 3,541.50, 5,312.30 and 944.46 is: 1,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.50 : 5,312.30 = 944.46 : x
  2. Step 2: Convert to fraction form
    3,541.50/5,312.30 = 944.46/x
  3. Step 3: Cross multiply
    3,541.50x = 5,312.30 × 944.46
  4. Step 4: Simplify right side
    3,541.50x = 5,017,250.14
  5. Step 5: Solve for x
    x = 5,017,250.14/3,541.50
  6. Step 6: Final answer
    x = 1,416.70

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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.