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Finding the Fourth Proportional to 4,602.69, 6,904.89 and 3,043.98

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Solution

The fourth proportional to 4,602.69, 6,904.89 and 3,043.98 is: 4,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.69 : 6,904.89 = 3,043.98 : x
  2. Step 2: Convert to fraction form
    4,602.69/6,904.89 = 3,043.98/x
  3. Step 3: Cross multiply
    4,602.69x = 6,904.89 × 3,043.98
  4. Step 4: Simplify right side
    4,602.69x = 21,018,347.06
  5. Step 5: Solve for x
    x = 21,018,347.06/4,602.69
  6. Step 6: Final answer
    x = 4,566.54

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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.