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Finding the Fourth Proportional to 4,051.44, 6,077.16 and 973.44

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Solution

The fourth proportional to 4,051.44, 6,077.16 and 973.44 is: 1,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.44 : 6,077.16 = 973.44 : x
  2. Step 2: Convert to fraction form
    4,051.44/6,077.16 = 973.44/x
  3. Step 3: Cross multiply
    4,051.44x = 6,077.16 × 973.44
  4. Step 4: Simplify right side
    4,051.44x = 5,915,750.63
  5. Step 5: Solve for x
    x = 5,915,750.63/4,051.44
  6. Step 6: Final answer
    x = 1,460.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.