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Finding the Fourth Proportional to 5,317.62, 7,335 and 3,802.38

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Solution

The fourth proportional to 5,317.62, 7,335 and 3,802.38 is: 5,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.62 : 7,335 = 3,802.38 : x
  2. Step 2: Convert to fraction form
    5,317.62/7,335 = 3,802.38/x
  3. Step 3: Cross multiply
    5,317.62x = 7,335 × 3,802.38
  4. Step 4: Simplify right side
    5,317.62x = 27,890,457.30
  5. Step 5: Solve for x
    x = 27,890,457.30/5,317.62
  6. Step 6: Final answer
    x = 5,244.91

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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.