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Finding the Fourth Proportional to 4,768.02, 6,580.03 and 2,643.53

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Solution

The fourth proportional to 4,768.02, 6,580.03 and 2,643.53 is: 3,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.02 : 6,580.03 = 2,643.53 : x
  2. Step 2: Convert to fraction form
    4,768.02/6,580.03 = 2,643.53/x
  3. Step 3: Cross multiply
    4,768.02x = 6,580.03 × 2,643.53
  4. Step 4: Simplify right side
    4,768.02x = 17,394,506.71
  5. Step 5: Solve for x
    x = 17,394,506.71/4,768.02
  6. Step 6: Final answer
    x = 3,648.16

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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.