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Finding the Fourth Proportional to 3,114.87, 4,673.16 and 2,592.06

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Solution

The fourth proportional to 3,114.87, 4,673.16 and 2,592.06 is: 3,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.87 : 4,673.16 = 2,592.06 : x
  2. Step 2: Convert to fraction form
    3,114.87/4,673.16 = 2,592.06/x
  3. Step 3: Cross multiply
    3,114.87x = 4,673.16 × 2,592.06
  4. Step 4: Simplify right side
    3,114.87x = 12,113,111.11
  5. Step 5: Solve for x
    x = 12,113,111.11/3,114.87
  6. Step 6: Final answer
    x = 3,888.80

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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.