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Finding the Fourth Proportional to 4,562.48, 6,834.48 and 3,584

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Solution

The fourth proportional to 4,562.48, 6,834.48 and 3,584 is: 5,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.48 : 6,834.48 = 3,584 : x
  2. Step 2: Convert to fraction form
    4,562.48/6,834.48 = 3,584/x
  3. Step 3: Cross multiply
    4,562.48x = 6,834.48 × 3,584
  4. Step 4: Simplify right side
    4,562.48x = 24,494,776.32
  5. Step 5: Solve for x
    x = 24,494,776.32/4,562.48
  6. Step 6: Final answer
    x = 5,368.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.