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Finding the Fourth Proportional to 4,332.02, 5,978.53 and 2,468.98

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Solution

The fourth proportional to 4,332.02, 5,978.53 and 2,468.98 is: 3,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.02 : 5,978.53 = 2,468.98 : x
  2. Step 2: Convert to fraction form
    4,332.02/5,978.53 = 2,468.98/x
  3. Step 3: Cross multiply
    4,332.02x = 5,978.53 × 2,468.98
  4. Step 4: Simplify right side
    4,332.02x = 14,760,871.00
  5. Step 5: Solve for x
    x = 14,760,871.00/4,332.02
  6. Step 6: Final answer
    x = 3,407.39

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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.