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Finding the Fourth Proportional to 5,407.06, 7,461.74 and 2,923.06

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Solution

The fourth proportional to 5,407.06, 7,461.74 and 2,923.06 is: 4,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.06 : 7,461.74 = 2,923.06 : x
  2. Step 2: Convert to fraction form
    5,407.06/7,461.74 = 2,923.06/x
  3. Step 3: Cross multiply
    5,407.06x = 7,461.74 × 2,923.06
  4. Step 4: Simplify right side
    5,407.06x = 21,811,113.72
  5. Step 5: Solve for x
    x = 21,811,113.72/5,407.06
  6. Step 6: Final answer
    x = 4,033.82

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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.