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Finding the Fourth Proportional to 5,077.50, 7,009.57 and 3,502.86

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Solution

The fourth proportional to 5,077.50, 7,009.57 and 3,502.86 is: 4,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.50 : 7,009.57 = 3,502.86 : x
  2. Step 2: Convert to fraction form
    5,077.50/7,009.57 = 3,502.86/x
  3. Step 3: Cross multiply
    5,077.50x = 7,009.57 × 3,502.86
  4. Step 4: Simplify right side
    5,077.50x = 24,553,542.37
  5. Step 5: Solve for x
    x = 24,553,542.37/5,077.50
  6. Step 6: Final answer
    x = 4,835.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.