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Finding the Fourth Proportional to 4,840.47, 7,263.95 and 1,762.47

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Solution

The fourth proportional to 4,840.47, 7,263.95 and 1,762.47 is: 2,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.47 : 7,263.95 = 1,762.47 : x
  2. Step 2: Convert to fraction form
    4,840.47/7,263.95 = 1,762.47/x
  3. Step 3: Cross multiply
    4,840.47x = 7,263.95 × 1,762.47
  4. Step 4: Simplify right side
    4,840.47x = 12,802,493.96
  5. Step 5: Solve for x
    x = 12,802,493.96/4,840.47
  6. Step 6: Final answer
    x = 2,644.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.