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Finding the Fourth Proportional to 4,869.18, 7,292.84 and 4,705.16

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Solution

The fourth proportional to 4,869.18, 7,292.84 and 4,705.16 is: 7,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.18 : 7,292.84 = 4,705.16 : x
  2. Step 2: Convert to fraction form
    4,869.18/7,292.84 = 4,705.16/x
  3. Step 3: Cross multiply
    4,869.18x = 7,292.84 × 4,705.16
  4. Step 4: Simplify right side
    4,869.18x = 34,313,919.06
  5. Step 5: Solve for x
    x = 34,313,919.06/4,869.18
  6. Step 6: Final answer
    x = 7,047.17

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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.