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Finding the Fourth Proportional to 4,670.40, 7,007.06 and 1,383.51

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Solution

The fourth proportional to 4,670.40, 7,007.06 and 1,383.51 is: 2,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.40 : 7,007.06 = 1,383.51 : x
  2. Step 2: Convert to fraction form
    4,670.40/7,007.06 = 1,383.51/x
  3. Step 3: Cross multiply
    4,670.40x = 7,007.06 × 1,383.51
  4. Step 4: Simplify right side
    4,670.40x = 9,694,330.66
  5. Step 5: Solve for x
    x = 9,694,330.66/4,670.40
  6. Step 6: Final answer
    x = 2,075.70

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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.