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Finding the Fourth Proportional to 5,783.93, 8,686.49 and 5,295.96

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Solution

The fourth proportional to 5,783.93, 8,686.49 and 5,295.96 is: 7,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.93 : 8,686.49 = 5,295.96 : x
  2. Step 2: Convert to fraction form
    5,783.93/8,686.49 = 5,295.96/x
  3. Step 3: Cross multiply
    5,783.93x = 8,686.49 × 5,295.96
  4. Step 4: Simplify right side
    5,783.93x = 46,003,282.46
  5. Step 5: Solve for x
    x = 46,003,282.46/5,783.93
  6. Step 6: Final answer
    x = 7,953.64

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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.