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Finding the Fourth Proportional to 5,897.84, 8,819.42 and 4,566.51

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Solution

The fourth proportional to 5,897.84, 8,819.42 and 4,566.51 is: 6,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.84 : 8,819.42 = 4,566.51 : x
  2. Step 2: Convert to fraction form
    5,897.84/8,819.42 = 4,566.51/x
  3. Step 3: Cross multiply
    5,897.84x = 8,819.42 × 4,566.51
  4. Step 4: Simplify right side
    5,897.84x = 40,273,969.62
  5. Step 5: Solve for x
    x = 40,273,969.62/5,897.84
  6. Step 6: Final answer
    x = 6,828.60

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