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Finding the Fourth Proportional to 5,925.98, 8,173.50 and 3,802.16

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Solution

The fourth proportional to 5,925.98, 8,173.50 and 3,802.16 is: 5,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.98 : 8,173.50 = 3,802.16 : x
  2. Step 2: Convert to fraction form
    5,925.98/8,173.50 = 3,802.16/x
  3. Step 3: Cross multiply
    5,925.98x = 8,173.50 × 3,802.16
  4. Step 4: Simplify right side
    5,925.98x = 31,076,954.76
  5. Step 5: Solve for x
    x = 31,076,954.76/5,925.98
  6. Step 6: Final answer
    x = 5,244.19

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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.