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Finding the Fourth Proportional to 4,862.16, 7,292.16 and 2,913.84

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Solution

The fourth proportional to 4,862.16, 7,292.16 and 2,913.84 is: 4,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.16 : 7,292.16 = 2,913.84 : x
  2. Step 2: Convert to fraction form
    4,862.16/7,292.16 = 2,913.84/x
  3. Step 3: Cross multiply
    4,862.16x = 7,292.16 × 2,913.84
  4. Step 4: Simplify right side
    4,862.16x = 21,248,187.49
  5. Step 5: Solve for x
    x = 21,248,187.49/4,862.16
  6. Step 6: Final answer
    x = 4,370.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.