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Finding the Fourth Proportional to 4,985.34, 7,476.14 and 1,652.97

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Solution

The fourth proportional to 4,985.34, 7,476.14 and 1,652.97 is: 2,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.34 : 7,476.14 = 1,652.97 : x
  2. Step 2: Convert to fraction form
    4,985.34/7,476.14 = 1,652.97/x
  3. Step 3: Cross multiply
    4,985.34x = 7,476.14 × 1,652.97
  4. Step 4: Simplify right side
    4,985.34x = 12,357,835.14
  5. Step 5: Solve for x
    x = 12,357,835.14/4,985.34
  6. Step 6: Final answer
    x = 2,478.83

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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.