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Finding the Fourth Proportional to 5,860.64, 8,773.94 and 4,558.16

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Solution

The fourth proportional to 5,860.64, 8,773.94 and 4,558.16 is: 6,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.64 : 8,773.94 = 4,558.16 : x
  2. Step 2: Convert to fraction form
    5,860.64/8,773.94 = 4,558.16/x
  3. Step 3: Cross multiply
    5,860.64x = 8,773.94 × 4,558.16
  4. Step 4: Simplify right side
    5,860.64x = 39,992,955.69
  5. Step 5: Solve for x
    x = 39,992,955.69/5,860.64
  6. Step 6: Final answer
    x = 6,824.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.