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Finding the Fourth Proportional to 5,894.02, 8,830.65 and 3,114.57

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Solution

The fourth proportional to 5,894.02, 8,830.65 and 3,114.57 is: 4,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.02 : 8,830.65 = 3,114.57 : x
  2. Step 2: Convert to fraction form
    5,894.02/8,830.65 = 3,114.57/x
  3. Step 3: Cross multiply
    5,894.02x = 8,830.65 × 3,114.57
  4. Step 4: Simplify right side
    5,894.02x = 27,503,677.57
  5. Step 5: Solve for x
    x = 27,503,677.57/5,894.02
  6. Step 6: Final answer
    x = 4,666.37

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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.