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Finding the Fourth Proportional to 3,526.94, 5,289.12 and 1,580.48

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Solution

The fourth proportional to 3,526.94, 5,289.12 and 1,580.48 is: 2,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.94 : 5,289.12 = 1,580.48 : x
  2. Step 2: Convert to fraction form
    3,526.94/5,289.12 = 1,580.48/x
  3. Step 3: Cross multiply
    3,526.94x = 5,289.12 × 1,580.48
  4. Step 4: Simplify right side
    3,526.94x = 8,359,348.38
  5. Step 5: Solve for x
    x = 8,359,348.38/3,526.94
  6. Step 6: Final answer
    x = 2,370.14

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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.