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Finding the Fourth Proportional to 5,011.76, 7,509.44 and 3,548.30

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Solution

The fourth proportional to 5,011.76, 7,509.44 and 3,548.30 is: 5,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.76 : 7,509.44 = 3,548.30 : x
  2. Step 2: Convert to fraction form
    5,011.76/7,509.44 = 3,548.30/x
  3. Step 3: Cross multiply
    5,011.76x = 7,509.44 × 3,548.30
  4. Step 4: Simplify right side
    5,011.76x = 26,645,717.28
  5. Step 5: Solve for x
    x = 26,645,717.28/5,011.76
  6. Step 6: Final answer
    x = 5,316.64

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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.