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Finding the Fourth Proportional to 4,833.56, 7,249.52 and 1,370

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Solution

The fourth proportional to 4,833.56, 7,249.52 and 1,370 is: 2,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.56 : 7,249.52 = 1,370 : x
  2. Step 2: Convert to fraction form
    4,833.56/7,249.52 = 1,370/x
  3. Step 3: Cross multiply
    4,833.56x = 7,249.52 × 1,370
  4. Step 4: Simplify right side
    4,833.56x = 9,931,842.40
  5. Step 5: Solve for x
    x = 9,931,842.40/4,833.56
  6. Step 6: Final answer
    x = 2,054.77

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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.