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Finding the Fourth Proportional to 5,523.63, 8,285.88 and 1,575.18

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Solution

The fourth proportional to 5,523.63, 8,285.88 and 1,575.18 is: 2,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.63 : 8,285.88 = 1,575.18 : x
  2. Step 2: Convert to fraction form
    5,523.63/8,285.88 = 1,575.18/x
  3. Step 3: Cross multiply
    5,523.63x = 8,285.88 × 1,575.18
  4. Step 4: Simplify right side
    5,523.63x = 13,051,752.46
  5. Step 5: Solve for x
    x = 13,051,752.46/5,523.63
  6. Step 6: Final answer
    x = 2,362.89

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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.