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Finding the Fourth Proportional to 3,557.68, 5,347.95 and 3,298.84

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Solution

The fourth proportional to 3,557.68, 5,347.95 and 3,298.84 is: 4,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.68 : 5,347.95 = 3,298.84 : x
  2. Step 2: Convert to fraction form
    3,557.68/5,347.95 = 3,298.84/x
  3. Step 3: Cross multiply
    3,557.68x = 5,347.95 × 3,298.84
  4. Step 4: Simplify right side
    3,557.68x = 17,642,031.38
  5. Step 5: Solve for x
    x = 17,642,031.38/3,557.68
  6. Step 6: Final answer
    x = 4,958.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.