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Finding the Fourth Proportional to 5,242.17, 7,856.40 and 4,506.78

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Solution

The fourth proportional to 5,242.17, 7,856.40 and 4,506.78 is: 6,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.17 : 7,856.40 = 4,506.78 : x
  2. Step 2: Convert to fraction form
    5,242.17/7,856.40 = 4,506.78/x
  3. Step 3: Cross multiply
    5,242.17x = 7,856.40 × 4,506.78
  4. Step 4: Simplify right side
    5,242.17x = 35,407,066.39
  5. Step 5: Solve for x
    x = 35,407,066.39/5,242.17
  6. Step 6: Final answer
    x = 6,754.28

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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.