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Finding the Fourth Proportional to 5,536.46, 7,646.93 and 4,041.98

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Solution

The fourth proportional to 5,536.46, 7,646.93 and 4,041.98 is: 5,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.46 : 7,646.93 = 4,041.98 : x
  2. Step 2: Convert to fraction form
    5,536.46/7,646.93 = 4,041.98/x
  3. Step 3: Cross multiply
    5,536.46x = 7,646.93 × 4,041.98
  4. Step 4: Simplify right side
    5,536.46x = 30,908,738.12
  5. Step 5: Solve for x
    x = 30,908,738.12/5,536.46
  6. Step 6: Final answer
    x = 5,582.76

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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.