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Finding the Fourth Proportional to 6,510.56, 8,984.46 and 3,716

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Solution

The fourth proportional to 6,510.56, 8,984.46 and 3,716 is: 5,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.56 : 8,984.46 = 3,716 : x
  2. Step 2: Convert to fraction form
    6,510.56/8,984.46 = 3,716/x
  3. Step 3: Cross multiply
    6,510.56x = 8,984.46 × 3,716
  4. Step 4: Simplify right side
    6,510.56x = 33,386,253.36
  5. Step 5: Solve for x
    x = 33,386,253.36/6,510.56
  6. Step 6: Final answer
    x = 5,128.02

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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.