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Finding the Fourth Proportional to 3,534.48, 4,878.72 and 2,137.68

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Solution

The fourth proportional to 3,534.48, 4,878.72 and 2,137.68 is: 2,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.48 : 4,878.72 = 2,137.68 : x
  2. Step 2: Convert to fraction form
    3,534.48/4,878.72 = 2,137.68/x
  3. Step 3: Cross multiply
    3,534.48x = 4,878.72 × 2,137.68
  4. Step 4: Simplify right side
    3,534.48x = 10,429,142.17
  5. Step 5: Solve for x
    x = 10,429,142.17/3,534.48
  6. Step 6: Final answer
    x = 2,950.69

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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.