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Finding the Fourth Proportional to 3,486.76, 5,230.14 and 1,538.57

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Solution

The fourth proportional to 3,486.76, 5,230.14 and 1,538.57 is: 2,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.76 : 5,230.14 = 1,538.57 : x
  2. Step 2: Convert to fraction form
    3,486.76/5,230.14 = 1,538.57/x
  3. Step 3: Cross multiply
    3,486.76x = 5,230.14 × 1,538.57
  4. Step 4: Simplify right side
    3,486.76x = 8,046,943.81
  5. Step 5: Solve for x
    x = 8,046,943.81/3,486.76
  6. Step 6: Final answer
    x = 2,307.86

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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.