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Finding the Fourth Proportional to 3,114.72, 4,647.78 and 2,838.72

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Solution

The fourth proportional to 3,114.72, 4,647.78 and 2,838.72 is: 4,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.72 : 4,647.78 = 2,838.72 : x
  2. Step 2: Convert to fraction form
    3,114.72/4,647.78 = 2,838.72/x
  3. Step 3: Cross multiply
    3,114.72x = 4,647.78 × 2,838.72
  4. Step 4: Simplify right side
    3,114.72x = 13,193,746.04
  5. Step 5: Solve for x
    x = 13,193,746.04/3,114.72
  6. Step 6: Final answer
    x = 4,235.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.