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Finding the Fourth Proportional to 5,630.34, 7,762.58 and 3,858.78

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Solution

The fourth proportional to 5,630.34, 7,762.58 and 3,858.78 is: 5,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.34 : 7,762.58 = 3,858.78 : x
  2. Step 2: Convert to fraction form
    5,630.34/7,762.58 = 3,858.78/x
  3. Step 3: Cross multiply
    5,630.34x = 7,762.58 × 3,858.78
  4. Step 4: Simplify right side
    5,630.34x = 29,954,088.45
  5. Step 5: Solve for x
    x = 29,954,088.45/5,630.34
  6. Step 6: Final answer
    x = 5,320.12

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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.