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Finding the Fourth Proportional to 5,569.94, 7,686.63 and 3,052.15

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Solution

The fourth proportional to 5,569.94, 7,686.63 and 3,052.15 is: 4,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.94 : 7,686.63 = 3,052.15 : x
  2. Step 2: Convert to fraction form
    5,569.94/7,686.63 = 3,052.15/x
  3. Step 3: Cross multiply
    5,569.94x = 7,686.63 × 3,052.15
  4. Step 4: Simplify right side
    5,569.94x = 23,460,709.32
  5. Step 5: Solve for x
    x = 23,460,709.32/5,569.94
  6. Step 6: Final answer
    x = 4,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.