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Finding the Fourth Proportional to 4,753.65, 7,130.48 and 4,429.65

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Solution

The fourth proportional to 4,753.65, 7,130.48 and 4,429.65 is: 6,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.65 : 7,130.48 = 4,429.65 : x
  2. Step 2: Convert to fraction form
    4,753.65/7,130.48 = 4,429.65/x
  3. Step 3: Cross multiply
    4,753.65x = 7,130.48 × 4,429.65
  4. Step 4: Simplify right side
    4,753.65x = 31,585,508.58
  5. Step 5: Solve for x
    x = 31,585,508.58/4,753.65
  6. Step 6: Final answer
    x = 6,644.48

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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.