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Finding the Fourth Proportional to 5,630.46, 7,770.69 and 4,684.58

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Solution

The fourth proportional to 5,630.46, 7,770.69 and 4,684.58 is: 6,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.46 : 7,770.69 = 4,684.58 : x
  2. Step 2: Convert to fraction form
    5,630.46/7,770.69 = 4,684.58/x
  3. Step 3: Cross multiply
    5,630.46x = 7,770.69 × 4,684.58
  4. Step 4: Simplify right side
    5,630.46x = 36,402,356.68
  5. Step 5: Solve for x
    x = 36,402,356.68/5,630.46
  6. Step 6: Final answer
    x = 6,465.26

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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.