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Finding the Fourth Proportional to 4,574.70, 6,854.15 and 3,090.65

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Solution

The fourth proportional to 4,574.70, 6,854.15 and 3,090.65 is: 4,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.70 : 6,854.15 = 3,090.65 : x
  2. Step 2: Convert to fraction form
    4,574.70/6,854.15 = 3,090.65/x
  3. Step 3: Cross multiply
    4,574.70x = 6,854.15 × 3,090.65
  4. Step 4: Simplify right side
    4,574.70x = 21,183,752.15
  5. Step 5: Solve for x
    x = 21,183,752.15/4,574.70
  6. Step 6: Final answer
    x = 4,630.63

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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.