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Finding the Fourth Proportional to 5,802.03, 8,003.16 and 3,442.50

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Solution

The fourth proportional to 5,802.03, 8,003.16 and 3,442.50 is: 4,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.03 : 8,003.16 = 3,442.50 : x
  2. Step 2: Convert to fraction form
    5,802.03/8,003.16 = 3,442.50/x
  3. Step 3: Cross multiply
    5,802.03x = 8,003.16 × 3,442.50
  4. Step 4: Simplify right side
    5,802.03x = 27,550,878.30
  5. Step 5: Solve for x
    x = 27,550,878.30/5,802.03
  6. Step 6: Final answer
    x = 4,748.49

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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.