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Finding the Fourth Proportional to 4,303.54, 6,455.31 and 1,837.90

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Solution

The fourth proportional to 4,303.54, 6,455.31 and 1,837.90 is: 2,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.54 : 6,455.31 = 1,837.90 : x
  2. Step 2: Convert to fraction form
    4,303.54/6,455.31 = 1,837.90/x
  3. Step 3: Cross multiply
    4,303.54x = 6,455.31 × 1,837.90
  4. Step 4: Simplify right side
    4,303.54x = 11,864,214.25
  5. Step 5: Solve for x
    x = 11,864,214.25/4,303.54
  6. Step 6: Final answer
    x = 2,756.85

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Why These Related Problems?

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