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Finding the Fourth Proportional to 5,283.22, 7,281.31 and 4,678.45

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Solution

The fourth proportional to 5,283.22, 7,281.31 and 4,678.45 is: 6,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.22 : 7,281.31 = 4,678.45 : x
  2. Step 2: Convert to fraction form
    5,283.22/7,281.31 = 4,678.45/x
  3. Step 3: Cross multiply
    5,283.22x = 7,281.31 × 4,678.45
  4. Step 4: Simplify right side
    5,283.22x = 34,065,244.77
  5. Step 5: Solve for x
    x = 34,065,244.77/5,283.22
  6. Step 6: Final answer
    x = 6,447.82

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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.