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Finding the Fourth Proportional to 4,712.75, 6,503.67 and 2,588.48

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Solution

The fourth proportional to 4,712.75, 6,503.67 and 2,588.48 is: 3,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.75 : 6,503.67 = 2,588.48 : x
  2. Step 2: Convert to fraction form
    4,712.75/6,503.67 = 2,588.48/x
  3. Step 3: Cross multiply
    4,712.75x = 6,503.67 × 2,588.48
  4. Step 4: Simplify right side
    4,712.75x = 16,834,619.72
  5. Step 5: Solve for x
    x = 16,834,619.72/4,712.75
  6. Step 6: Final answer
    x = 3,572.14

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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.