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Finding the Fourth Proportional to 5,405.84, 7,460.84 and 5,072.28

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Solution

The fourth proportional to 5,405.84, 7,460.84 and 5,072.28 is: 7,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.84 : 7,460.84 = 5,072.28 : x
  2. Step 2: Convert to fraction form
    5,405.84/7,460.84 = 5,072.28/x
  3. Step 3: Cross multiply
    5,405.84x = 7,460.84 × 5,072.28
  4. Step 4: Simplify right side
    5,405.84x = 37,843,469.52
  5. Step 5: Solve for x
    x = 37,843,469.52/5,405.84
  6. Step 6: Final answer
    x = 7,000.48

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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.