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Finding the Fourth Proportional to 5,653.84, 7,802.76 and 3,136.74

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Solution

The fourth proportional to 5,653.84, 7,802.76 and 3,136.74 is: 4,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.84 : 7,802.76 = 3,136.74 : x
  2. Step 2: Convert to fraction form
    5,653.84/7,802.76 = 3,136.74/x
  3. Step 3: Cross multiply
    5,653.84x = 7,802.76 × 3,136.74
  4. Step 4: Simplify right side
    5,653.84x = 24,475,229.40
  5. Step 5: Solve for x
    x = 24,475,229.40/5,653.84
  6. Step 6: Final answer
    x = 4,328.96

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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.