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Finding the Fourth Proportional to 4,713.19, 6,503.08 and 3,035.14

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Solution

The fourth proportional to 4,713.19, 6,503.08 and 3,035.14 is: 4,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.19 : 6,503.08 = 3,035.14 : x
  2. Step 2: Convert to fraction form
    4,713.19/6,503.08 = 3,035.14/x
  3. Step 3: Cross multiply
    4,713.19x = 6,503.08 × 3,035.14
  4. Step 4: Simplify right side
    4,713.19x = 19,737,758.23
  5. Step 5: Solve for x
    x = 19,737,758.23/4,713.19
  6. Step 6: Final answer
    x = 4,187.77

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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.