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Finding the Fourth Proportional to 5,289.66, 7,295.94 and 3,495.06

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Solution

The fourth proportional to 5,289.66, 7,295.94 and 3,495.06 is: 4,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.66 : 7,295.94 = 3,495.06 : x
  2. Step 2: Convert to fraction form
    5,289.66/7,295.94 = 3,495.06/x
  3. Step 3: Cross multiply
    5,289.66x = 7,295.94 × 3,495.06
  4. Step 4: Simplify right side
    5,289.66x = 25,499,748.06
  5. Step 5: Solve for x
    x = 25,499,748.06/5,289.66
  6. Step 6: Final answer
    x = 4,820.68

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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.