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Finding the Fourth Proportional to 5,294.20, 7,284.54 and 4,346.50

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Solution

The fourth proportional to 5,294.20, 7,284.54 and 4,346.50 is: 5,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.20 : 7,284.54 = 4,346.50 : x
  2. Step 2: Convert to fraction form
    5,294.20/7,284.54 = 4,346.50/x
  3. Step 3: Cross multiply
    5,294.20x = 7,284.54 × 4,346.50
  4. Step 4: Simplify right side
    5,294.20x = 31,662,253.11
  5. Step 5: Solve for x
    x = 31,662,253.11/5,294.20
  6. Step 6: Final answer
    x = 5,980.55

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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.