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Finding the Fourth Proportional to 5,465.47, 7,543.16 and 3,342.22

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Solution

The fourth proportional to 5,465.47, 7,543.16 and 3,342.22 is: 4,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.47 : 7,543.16 = 3,342.22 : x
  2. Step 2: Convert to fraction form
    5,465.47/7,543.16 = 3,342.22/x
  3. Step 3: Cross multiply
    5,465.47x = 7,543.16 × 3,342.22
  4. Step 4: Simplify right side
    5,465.47x = 25,210,900.22
  5. Step 5: Solve for x
    x = 25,210,900.22/5,465.47
  6. Step 6: Final answer
    x = 4,612.76

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