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Finding the Fourth Proportional to 5,323, 7,984.64 and 1,860.25

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Solution

The fourth proportional to 5,323, 7,984.64 and 1,860.25 is: 2,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323 : 7,984.64 = 1,860.25 : x
  2. Step 2: Convert to fraction form
    5,323/7,984.64 = 1,860.25/x
  3. Step 3: Cross multiply
    5,323x = 7,984.64 × 1,860.25
  4. Step 4: Simplify right side
    5,323x = 14,853,417.26
  5. Step 5: Solve for x
    x = 14,853,417.26/5,323
  6. Step 6: Final answer
    x = 2,790.42

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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.