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Finding the Fourth Proportional to 5,688.34, 7,857.48 and 4,378.48

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Solution

The fourth proportional to 5,688.34, 7,857.48 and 4,378.48 is: 6,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.34 : 7,857.48 = 4,378.48 : x
  2. Step 2: Convert to fraction form
    5,688.34/7,857.48 = 4,378.48/x
  3. Step 3: Cross multiply
    5,688.34x = 7,857.48 × 4,378.48
  4. Step 4: Simplify right side
    5,688.34x = 34,403,819.03
  5. Step 5: Solve for x
    x = 34,403,819.03/5,688.34
  6. Step 6: Final answer
    x = 6,048.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.