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Finding the Fourth Proportional to 4,752.98, 7,129.46 and 1,290.23

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Solution

The fourth proportional to 4,752.98, 7,129.46 and 1,290.23 is: 1,935.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.98 : 7,129.46 = 1,290.23 : x
  2. Step 2: Convert to fraction form
    4,752.98/7,129.46 = 1,290.23/x
  3. Step 3: Cross multiply
    4,752.98x = 7,129.46 × 1,290.23
  4. Step 4: Simplify right side
    4,752.98x = 9,198,643.18
  5. Step 5: Solve for x
    x = 9,198,643.18/4,752.98
  6. Step 6: Final answer
    x = 1,935.34

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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.