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Finding the Fourth Proportional to 3,527.65, 5,289.33 and 2,430.81

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Solution

The fourth proportional to 3,527.65, 5,289.33 and 2,430.81 is: 3,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.65 : 5,289.33 = 2,430.81 : x
  2. Step 2: Convert to fraction form
    3,527.65/5,289.33 = 2,430.81/x
  3. Step 3: Cross multiply
    3,527.65x = 5,289.33 × 2,430.81
  4. Step 4: Simplify right side
    3,527.65x = 12,857,356.26
  5. Step 5: Solve for x
    x = 12,857,356.26/3,527.65
  6. Step 6: Final answer
    x = 3,644.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.