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Finding the Fourth Proportional to 4,573.67, 6,859.80 and 1,800.14

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Solution

The fourth proportional to 4,573.67, 6,859.80 and 1,800.14 is: 2,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.67 : 6,859.80 = 1,800.14 : x
  2. Step 2: Convert to fraction form
    4,573.67/6,859.80 = 1,800.14/x
  3. Step 3: Cross multiply
    4,573.67x = 6,859.80 × 1,800.14
  4. Step 4: Simplify right side
    4,573.67x = 12,348,566.07
  5. Step 5: Solve for x
    x = 12,348,566.07/4,573.67
  6. Step 6: Final answer
    x = 2,699.93

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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.