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Finding the Fourth Proportional to 3,509.40, 5,265.75 and 1,534.78

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Solution

The fourth proportional to 3,509.40, 5,265.75 and 1,534.78 is: 2,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.40 : 5,265.75 = 1,534.78 : x
  2. Step 2: Convert to fraction form
    3,509.40/5,265.75 = 1,534.78/x
  3. Step 3: Cross multiply
    3,509.40x = 5,265.75 × 1,534.78
  4. Step 4: Simplify right side
    3,509.40x = 8,081,784.60
  5. Step 5: Solve for x
    x = 8,081,784.60/3,509.40
  6. Step 6: Final answer
    x = 2,302.89

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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.