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Finding the Fourth Proportional to 4,557.69, 6,289.62 and 2,461.82

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Solution

The fourth proportional to 4,557.69, 6,289.62 and 2,461.82 is: 3,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.69 : 6,289.62 = 2,461.82 : x
  2. Step 2: Convert to fraction form
    4,557.69/6,289.62 = 2,461.82/x
  3. Step 3: Cross multiply
    4,557.69x = 6,289.62 × 2,461.82
  4. Step 4: Simplify right side
    4,557.69x = 15,483,868.55
  5. Step 5: Solve for x
    x = 15,483,868.55/4,557.69
  6. Step 6: Final answer
    x = 3,397.31

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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.