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Finding the Fourth Proportional to 4,548.69, 6,823.64 and 1,587.74

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Solution

The fourth proportional to 4,548.69, 6,823.64 and 1,587.74 is: 2,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.69 : 6,823.64 = 1,587.74 : x
  2. Step 2: Convert to fraction form
    4,548.69/6,823.64 = 1,587.74/x
  3. Step 3: Cross multiply
    4,548.69x = 6,823.64 × 1,587.74
  4. Step 4: Simplify right side
    4,548.69x = 10,834,136.02
  5. Step 5: Solve for x
    x = 10,834,136.02/4,548.69
  6. Step 6: Final answer
    x = 2,381.81

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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.