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Finding the Fourth Proportional to 5,829, 8,743.80 and 5,533.74

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Solution

The fourth proportional to 5,829, 8,743.80 and 5,533.74 is: 8,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829 : 8,743.80 = 5,533.74 : x
  2. Step 2: Convert to fraction form
    5,829/8,743.80 = 5,533.74/x
  3. Step 3: Cross multiply
    5,829x = 8,743.80 × 5,533.74
  4. Step 4: Simplify right side
    5,829x = 48,385,915.81
  5. Step 5: Solve for x
    x = 48,385,915.81/5,829
  6. Step 6: Final answer
    x = 8,300.89

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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.