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Finding the Fourth Proportional to 5,289.71, 7,904.20 and 4,033.40

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Solution

The fourth proportional to 5,289.71, 7,904.20 and 4,033.40 is: 6,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.71 : 7,904.20 = 4,033.40 : x
  2. Step 2: Convert to fraction form
    5,289.71/7,904.20 = 4,033.40/x
  3. Step 3: Cross multiply
    5,289.71x = 7,904.20 × 4,033.40
  4. Step 4: Simplify right side
    5,289.71x = 31,880,810.36
  5. Step 5: Solve for x
    x = 31,880,810.36/5,289.71
  6. Step 6: Final answer
    x = 6,026.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.