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Finding the Fourth Proportional to 4,711.80, 6,503.55 and 2,823.45

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Solution

The fourth proportional to 4,711.80, 6,503.55 and 2,823.45 is: 3,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.80 : 6,503.55 = 2,823.45 : x
  2. Step 2: Convert to fraction form
    4,711.80/6,503.55 = 2,823.45/x
  3. Step 3: Cross multiply
    4,711.80x = 6,503.55 × 2,823.45
  4. Step 4: Simplify right side
    4,711.80x = 18,362,448.25
  5. Step 5: Solve for x
    x = 18,362,448.25/4,711.80
  6. Step 6: Final answer
    x = 3,897.12

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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.