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Finding the Fourth Proportional to 5,802.30, 8,004.68 and 3,915.10

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Solution

The fourth proportional to 5,802.30, 8,004.68 and 3,915.10 is: 5,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.30 : 8,004.68 = 3,915.10 : x
  2. Step 2: Convert to fraction form
    5,802.30/8,004.68 = 3,915.10/x
  3. Step 3: Cross multiply
    5,802.30x = 8,004.68 × 3,915.10
  4. Step 4: Simplify right side
    5,802.30x = 31,339,122.67
  5. Step 5: Solve for x
    x = 31,339,122.67/5,802.30
  6. Step 6: Final answer
    x = 5,401.16

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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.