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Finding the Fourth Proportional to 5,441.47, 7,460.33 and 5,343.06

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Solution

The fourth proportional to 5,441.47, 7,460.33 and 5,343.06 is: 7,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.47 : 7,460.33 = 5,343.06 : x
  2. Step 2: Convert to fraction form
    5,441.47/7,460.33 = 5,343.06/x
  3. Step 3: Cross multiply
    5,441.47x = 7,460.33 × 5,343.06
  4. Step 4: Simplify right side
    5,441.47x = 39,860,990.81
  5. Step 5: Solve for x
    x = 39,860,990.81/5,441.47
  6. Step 6: Final answer
    x = 7,325.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.