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Finding the Fourth Proportional to 4,735.89, 6,535.71 and 2,640

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Solution

The fourth proportional to 4,735.89, 6,535.71 and 2,640 is: 3,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.89 : 6,535.71 = 2,640 : x
  2. Step 2: Convert to fraction form
    4,735.89/6,535.71 = 2,640/x
  3. Step 3: Cross multiply
    4,735.89x = 6,535.71 × 2,640
  4. Step 4: Simplify right side
    4,735.89x = 17,254,274.40
  5. Step 5: Solve for x
    x = 17,254,274.40/4,735.89
  6. Step 6: Final answer
    x = 3,643.30

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