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Finding the Fourth Proportional to 4,551.86, 6,281.54 and 2,562.38

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Solution

The fourth proportional to 4,551.86, 6,281.54 and 2,562.38 is: 3,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.86 : 6,281.54 = 2,562.38 : x
  2. Step 2: Convert to fraction form
    4,551.86/6,281.54 = 2,562.38/x
  3. Step 3: Cross multiply
    4,551.86x = 6,281.54 × 2,562.38
  4. Step 4: Simplify right side
    4,551.86x = 16,095,692.47
  5. Step 5: Solve for x
    x = 16,095,692.47/4,551.86
  6. Step 6: Final answer
    x = 3,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.