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Finding the Fourth Proportional to 5,807.07, 8,709.93 and 1,647.45

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Solution

The fourth proportional to 5,807.07, 8,709.93 and 1,647.45 is: 2,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.07 : 8,709.93 = 1,647.45 : x
  2. Step 2: Convert to fraction form
    5,807.07/8,709.93 = 1,647.45/x
  3. Step 3: Cross multiply
    5,807.07x = 8,709.93 × 1,647.45
  4. Step 4: Simplify right side
    5,807.07x = 14,349,174.18
  5. Step 5: Solve for x
    x = 14,349,174.18/5,807.07
  6. Step 6: Final answer
    x = 2,470.98

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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.