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Finding the Fourth Proportional to 6,200.42, 8,556.42 and 3,547.84

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Solution

The fourth proportional to 6,200.42, 8,556.42 and 3,547.84 is: 4,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.42 : 8,556.42 = 3,547.84 : x
  2. Step 2: Convert to fraction form
    6,200.42/8,556.42 = 3,547.84/x
  3. Step 3: Cross multiply
    6,200.42x = 8,556.42 × 3,547.84
  4. Step 4: Simplify right side
    6,200.42x = 30,356,809.13
  5. Step 5: Solve for x
    x = 30,356,809.13/6,200.42
  6. Step 6: Final answer
    x = 4,895.93

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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.