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Finding the Fourth Proportional to 5,289.96, 7,298.68 and 3,051.68

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Solution

The fourth proportional to 5,289.96, 7,298.68 and 3,051.68 is: 4,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.96 : 7,298.68 = 3,051.68 : x
  2. Step 2: Convert to fraction form
    5,289.96/7,298.68 = 3,051.68/x
  3. Step 3: Cross multiply
    5,289.96x = 7,298.68 × 3,051.68
  4. Step 4: Simplify right side
    5,289.96x = 22,273,235.78
  5. Step 5: Solve for x
    x = 22,273,235.78/5,289.96
  6. Step 6: Final answer
    x = 4,210.47

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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.