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Finding the Fourth Proportional to 4,894.57, 7,378.53 and 4,568.70

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Solution

The fourth proportional to 4,894.57, 7,378.53 and 4,568.70 is: 6,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.57 : 7,378.53 = 4,568.70 : x
  2. Step 2: Convert to fraction form
    4,894.57/7,378.53 = 4,568.70/x
  3. Step 3: Cross multiply
    4,894.57x = 7,378.53 × 4,568.70
  4. Step 4: Simplify right side
    4,894.57x = 33,710,259.04
  5. Step 5: Solve for x
    x = 33,710,259.04/4,894.57
  6. Step 6: Final answer
    x = 6,887.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.