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Finding the Fourth Proportional to 4,133.05, 5,703.60 and 2,270.05

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Solution

The fourth proportional to 4,133.05, 5,703.60 and 2,270.05 is: 3,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.05 : 5,703.60 = 2,270.05 : x
  2. Step 2: Convert to fraction form
    4,133.05/5,703.60 = 2,270.05/x
  3. Step 3: Cross multiply
    4,133.05x = 5,703.60 × 2,270.05
  4. Step 4: Simplify right side
    4,133.05x = 12,947,457.18
  5. Step 5: Solve for x
    x = 12,947,457.18/4,133.05
  6. Step 6: Final answer
    x = 3,132.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.