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Finding the Fourth Proportional to 4,894.95, 7,306.62 and 4,206.06

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Solution

The fourth proportional to 4,894.95, 7,306.62 and 4,206.06 is: 6,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.95 : 7,306.62 = 4,206.06 : x
  2. Step 2: Convert to fraction form
    4,894.95/7,306.62 = 4,206.06/x
  3. Step 3: Cross multiply
    4,894.95x = 7,306.62 × 4,206.06
  4. Step 4: Simplify right side
    4,894.95x = 30,732,082.12
  5. Step 5: Solve for x
    x = 30,732,082.12/4,894.95
  6. Step 6: Final answer
    x = 6,278.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.