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Finding the Fourth Proportional to 5,510.76, 7,614.90 and 4,016.08

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Solution

The fourth proportional to 5,510.76, 7,614.90 and 4,016.08 is: 5,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.76 : 7,614.90 = 4,016.08 : x
  2. Step 2: Convert to fraction form
    5,510.76/7,614.90 = 4,016.08/x
  3. Step 3: Cross multiply
    5,510.76x = 7,614.90 × 4,016.08
  4. Step 4: Simplify right side
    5,510.76x = 30,582,047.59
  5. Step 5: Solve for x
    x = 30,582,047.59/5,510.76
  6. Step 6: Final answer
    x = 5,549.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.