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Finding the Fourth Proportional to 5,626.65, 7,697.30 and 5,602.96

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Solution

The fourth proportional to 5,626.65, 7,697.30 and 5,602.96 is: 7,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.65 : 7,697.30 = 5,602.96 : x
  2. Step 2: Convert to fraction form
    5,626.65/7,697.30 = 5,602.96/x
  3. Step 3: Cross multiply
    5,626.65x = 7,697.30 × 5,602.96
  4. Step 4: Simplify right side
    5,626.65x = 43,127,664.01
  5. Step 5: Solve for x
    x = 43,127,664.01/5,626.65
  6. Step 6: Final answer
    x = 7,664.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.