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Finding the Fourth Proportional to 5,586.59, 7,762.96 and 5,525.84

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Solution

The fourth proportional to 5,586.59, 7,762.96 and 5,525.84 is: 7,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.59 : 7,762.96 = 5,525.84 : x
  2. Step 2: Convert to fraction form
    5,586.59/7,762.96 = 5,525.84/x
  3. Step 3: Cross multiply
    5,586.59x = 7,762.96 × 5,525.84
  4. Step 4: Simplify right side
    5,586.59x = 42,896,847.26
  5. Step 5: Solve for x
    x = 42,896,847.26/5,586.59
  6. Step 6: Final answer
    x = 7,678.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.