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Finding the Fourth Proportional to 5,833.54, 8,746.44 and 3,056.86

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Solution

The fourth proportional to 5,833.54, 8,746.44 and 3,056.86 is: 4,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.54 : 8,746.44 = 3,056.86 : x
  2. Step 2: Convert to fraction form
    5,833.54/8,746.44 = 3,056.86/x
  3. Step 3: Cross multiply
    5,833.54x = 8,746.44 × 3,056.86
  4. Step 4: Simplify right side
    5,833.54x = 26,736,642.58
  5. Step 5: Solve for x
    x = 26,736,642.58/5,833.54
  6. Step 6: Final answer
    x = 4,583.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.