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Finding the Fourth Proportional to 6,484.59, 8,948.34 and 3,652.02

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Solution

The fourth proportional to 6,484.59, 8,948.34 and 3,652.02 is: 5,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.59 : 8,948.34 = 3,652.02 : x
  2. Step 2: Convert to fraction form
    6,484.59/8,948.34 = 3,652.02/x
  3. Step 3: Cross multiply
    6,484.59x = 8,948.34 × 3,652.02
  4. Step 4: Simplify right side
    6,484.59x = 32,679,516.65
  5. Step 5: Solve for x
    x = 32,679,516.65/6,484.59
  6. Step 6: Final answer
    x = 5,039.57

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Why These Related Problems?

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