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Finding the Fourth Proportional to 5,569.60, 7,685.94 and 3,051.68

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Solution

The fourth proportional to 5,569.60, 7,685.94 and 3,051.68 is: 4,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.60 : 7,685.94 = 3,051.68 : x
  2. Step 2: Convert to fraction form
    5,569.60/7,685.94 = 3,051.68/x
  3. Step 3: Cross multiply
    5,569.60x = 7,685.94 × 3,051.68
  4. Step 4: Simplify right side
    5,569.60x = 23,455,029.38
  5. Step 5: Solve for x
    x = 23,455,029.38/5,569.60
  6. Step 6: Final answer
    x = 4,211.26

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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.