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Finding the Fourth Proportional to 4,670.32, 7,005.50 and 1,383.44

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Solution

The fourth proportional to 4,670.32, 7,005.50 and 1,383.44 is: 2,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.32 : 7,005.50 = 1,383.44 : x
  2. Step 2: Convert to fraction form
    4,670.32/7,005.50 = 1,383.44/x
  3. Step 3: Cross multiply
    4,670.32x = 7,005.50 × 1,383.44
  4. Step 4: Simplify right side
    4,670.32x = 9,691,699.35
  5. Step 5: Solve for x
    x = 9,691,699.35/4,670.32
  6. Step 6: Final answer
    x = 2,075.17

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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.