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Finding the Fourth Proportional to 5,815.94, 8,723.70 and 1,655.91

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Solution

The fourth proportional to 5,815.94, 8,723.70 and 1,655.91 is: 2,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.94 : 8,723.70 = 1,655.91 : x
  2. Step 2: Convert to fraction form
    5,815.94/8,723.70 = 1,655.91/x
  3. Step 3: Cross multiply
    5,815.94x = 8,723.70 × 1,655.91
  4. Step 4: Simplify right side
    5,815.94x = 14,445,662.07
  5. Step 5: Solve for x
    x = 14,445,662.07/5,815.94
  6. Step 6: Final answer
    x = 2,483.81

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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.