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Finding the Fourth Proportional to 4,776.65, 7,164.98 and 1,490.02

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Solution

The fourth proportional to 4,776.65, 7,164.98 and 1,490.02 is: 2,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.65 : 7,164.98 = 1,490.02 : x
  2. Step 2: Convert to fraction form
    4,776.65/7,164.98 = 1,490.02/x
  3. Step 3: Cross multiply
    4,776.65x = 7,164.98 × 1,490.02
  4. Step 4: Simplify right side
    4,776.65x = 10,675,920.22
  5. Step 5: Solve for x
    x = 10,675,920.22/4,776.65
  6. Step 6: Final answer
    x = 2,235.02

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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.