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Finding the Fourth Proportional to 4,566.51, 6,874.65 and 3,114.81

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Solution

The fourth proportional to 4,566.51, 6,874.65 and 3,114.81 is: 4,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.51 : 6,874.65 = 3,114.81 : x
  2. Step 2: Convert to fraction form
    4,566.51/6,874.65 = 3,114.81/x
  3. Step 3: Cross multiply
    4,566.51x = 6,874.65 × 3,114.81
  4. Step 4: Simplify right side
    4,566.51x = 21,413,228.57
  5. Step 5: Solve for x
    x = 21,413,228.57/4,566.51
  6. Step 6: Final answer
    x = 4,689.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.