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Finding the Fourth Proportional to 5,392.94, 8,089.40 and 1,497.35

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Solution

The fourth proportional to 5,392.94, 8,089.40 and 1,497.35 is: 2,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.94 : 8,089.40 = 1,497.35 : x
  2. Step 2: Convert to fraction form
    5,392.94/8,089.40 = 1,497.35/x
  3. Step 3: Cross multiply
    5,392.94x = 8,089.40 × 1,497.35
  4. Step 4: Simplify right side
    5,392.94x = 12,112,663.09
  5. Step 5: Solve for x
    x = 12,112,663.09/5,392.94
  6. Step 6: Final answer
    x = 2,246.02

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Why These Related Problems?

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