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Finding the Fourth Proportional to 5,784.64, 8,673.12 and 1,887.68

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Solution

The fourth proportional to 5,784.64, 8,673.12 and 1,887.68 is: 2,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.64 : 8,673.12 = 1,887.68 : x
  2. Step 2: Convert to fraction form
    5,784.64/8,673.12 = 1,887.68/x
  3. Step 3: Cross multiply
    5,784.64x = 8,673.12 × 1,887.68
  4. Step 4: Simplify right side
    5,784.64x = 16,372,075.16
  5. Step 5: Solve for x
    x = 16,372,075.16/5,784.64
  6. Step 6: Final answer
    x = 2,830.27

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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.