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Finding the Fourth Proportional to 4,710.90, 6,503.09 and 3,661.30

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Solution

The fourth proportional to 4,710.90, 6,503.09 and 3,661.30 is: 5,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.90 : 6,503.09 = 3,661.30 : x
  2. Step 2: Convert to fraction form
    4,710.90/6,503.09 = 3,661.30/x
  3. Step 3: Cross multiply
    4,710.90x = 6,503.09 × 3,661.30
  4. Step 4: Simplify right side
    4,710.90x = 23,809,763.42
  5. Step 5: Solve for x
    x = 23,809,763.42/4,710.90
  6. Step 6: Final answer
    x = 5,054.19

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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.