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Finding the Fourth Proportional to 5,569.74, 7,686.36 and 3,051.86

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Solution

The fourth proportional to 5,569.74, 7,686.36 and 3,051.86 is: 4,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.74 : 7,686.36 = 3,051.86 : x
  2. Step 2: Convert to fraction form
    5,569.74/7,686.36 = 3,051.86/x
  3. Step 3: Cross multiply
    5,569.74x = 7,686.36 × 3,051.86
  4. Step 4: Simplify right side
    5,569.74x = 23,457,656.20
  5. Step 5: Solve for x
    x = 23,457,656.20/5,569.74
  6. Step 6: Final answer
    x = 4,211.62

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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.