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Finding the Fourth Proportional to 4,709.04, 6,495.50 and 3,588

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Solution

The fourth proportional to 4,709.04, 6,495.50 and 3,588 is: 4,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.04 : 6,495.50 = 3,588 : x
  2. Step 2: Convert to fraction form
    4,709.04/6,495.50 = 3,588/x
  3. Step 3: Cross multiply
    4,709.04x = 6,495.50 × 3,588
  4. Step 4: Simplify right side
    4,709.04x = 23,305,854
  5. Step 5: Solve for x
    x = 23,305,854/4,709.04
  6. Step 6: Final answer
    x = 4,949.17

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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.