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Finding the Fourth Proportional to 3,442.08, 5,159.76 and 3,137.76

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Solution

The fourth proportional to 3,442.08, 5,159.76 and 3,137.76 is: 4,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.08 : 5,159.76 = 3,137.76 : x
  2. Step 2: Convert to fraction form
    3,442.08/5,159.76 = 3,137.76/x
  3. Step 3: Cross multiply
    3,442.08x = 5,159.76 × 3,137.76
  4. Step 4: Simplify right side
    3,442.08x = 16,190,088.54
  5. Step 5: Solve for x
    x = 16,190,088.54/3,442.08
  6. Step 6: Final answer
    x = 4,703.58

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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.