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Finding the Fourth Proportional to 4,606.88, 6,357.69 and 2,511

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Solution

The fourth proportional to 4,606.88, 6,357.69 and 2,511 is: 3,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.88 : 6,357.69 = 2,511 : x
  2. Step 2: Convert to fraction form
    4,606.88/6,357.69 = 2,511/x
  3. Step 3: Cross multiply
    4,606.88x = 6,357.69 × 2,511
  4. Step 4: Simplify right side
    4,606.88x = 15,964,159.59
  5. Step 5: Solve for x
    x = 15,964,159.59/4,606.88
  6. Step 6: Final answer
    x = 3,465.29

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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.