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Finding the Fourth Proportional to 5,697.98, 8,535.63 and 4,529.96

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Solution

The fourth proportional to 5,697.98, 8,535.63 and 4,529.96 is: 6,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.98 : 8,535.63 = 4,529.96 : x
  2. Step 2: Convert to fraction form
    5,697.98/8,535.63 = 4,529.96/x
  3. Step 3: Cross multiply
    5,697.98x = 8,535.63 × 4,529.96
  4. Step 4: Simplify right side
    5,697.98x = 38,666,062.47
  5. Step 5: Solve for x
    x = 38,666,062.47/5,697.98
  6. Step 6: Final answer
    x = 6,785.92

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