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Finding the Fourth Proportional to 3,527.19, 5,290.70 and 930.15

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Solution

The fourth proportional to 3,527.19, 5,290.70 and 930.15 is: 1,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.19 : 5,290.70 = 930.15 : x
  2. Step 2: Convert to fraction form
    3,527.19/5,290.70 = 930.15/x
  3. Step 3: Cross multiply
    3,527.19x = 5,290.70 × 930.15
  4. Step 4: Simplify right side
    3,527.19x = 4,921,139.95
  5. Step 5: Solve for x
    x = 4,921,139.95/3,527.19
  6. Step 6: Final answer
    x = 1,395.20

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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.