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Finding the Fourth Proportional to 3,527.99, 5,292.02 and 930.93

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Solution

The fourth proportional to 3,527.99, 5,292.02 and 930.93 is: 1,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.99 : 5,292.02 = 930.93 : x
  2. Step 2: Convert to fraction form
    3,527.99/5,292.02 = 930.93/x
  3. Step 3: Cross multiply
    3,527.99x = 5,292.02 × 930.93
  4. Step 4: Simplify right side
    3,527.99x = 4,926,495.52
  5. Step 5: Solve for x
    x = 4,926,495.52/3,527.99
  6. Step 6: Final answer
    x = 1,396.40

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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.