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Finding the Fourth Proportional to 3,730.46, 5,595.57 and 957.02

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Solution

The fourth proportional to 3,730.46, 5,595.57 and 957.02 is: 1,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.46 : 5,595.57 = 957.02 : x
  2. Step 2: Convert to fraction form
    3,730.46/5,595.57 = 957.02/x
  3. Step 3: Cross multiply
    3,730.46x = 5,595.57 × 957.02
  4. Step 4: Simplify right side
    3,730.46x = 5,355,044.42
  5. Step 5: Solve for x
    x = 5,355,044.42/3,730.46
  6. Step 6: Final answer
    x = 1,435.49

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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.