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Finding the Fourth Proportional to 4,277.84, 6,417.76 and 1,813.52

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Solution

The fourth proportional to 4,277.84, 6,417.76 and 1,813.52 is: 2,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.84 : 6,417.76 = 1,813.52 : x
  2. Step 2: Convert to fraction form
    4,277.84/6,417.76 = 1,813.52/x
  3. Step 3: Cross multiply
    4,277.84x = 6,417.76 × 1,813.52
  4. Step 4: Simplify right side
    4,277.84x = 11,638,736.12
  5. Step 5: Solve for x
    x = 11,638,736.12/4,277.84
  6. Step 6: Final answer
    x = 2,720.70

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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.