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Finding the Fourth Proportional to 6,199.71, 8,556.30 and 3,547.50

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Solution

The fourth proportional to 6,199.71, 8,556.30 and 3,547.50 is: 4,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.71 : 8,556.30 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    6,199.71/8,556.30 = 3,547.50/x
  3. Step 3: Cross multiply
    6,199.71x = 8,556.30 × 3,547.50
  4. Step 4: Simplify right side
    6,199.71x = 30,353,474.25
  5. Step 5: Solve for x
    x = 30,353,474.25/6,199.71
  6. Step 6: Final answer
    x = 4,895.95

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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.