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Finding the Fourth Proportional to 4,585.60, 6,313.74 and 4,046.68

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Solution

The fourth proportional to 4,585.60, 6,313.74 and 4,046.68 is: 5,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.60 : 6,313.74 = 4,046.68 : x
  2. Step 2: Convert to fraction form
    4,585.60/6,313.74 = 4,046.68/x
  3. Step 3: Cross multiply
    4,585.60x = 6,313.74 × 4,046.68
  4. Step 4: Simplify right side
    4,585.60x = 25,549,685.38
  5. Step 5: Solve for x
    x = 25,549,685.38/4,585.60
  6. Step 6: Final answer
    x = 5,571.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.