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Finding the Fourth Proportional to 5,342.30, 8,002.65 and 2,746.70

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Solution

The fourth proportional to 5,342.30, 8,002.65 and 2,746.70 is: 4,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.30 : 8,002.65 = 2,746.70 : x
  2. Step 2: Convert to fraction form
    5,342.30/8,002.65 = 2,746.70/x
  3. Step 3: Cross multiply
    5,342.30x = 8,002.65 × 2,746.70
  4. Step 4: Simplify right side
    5,342.30x = 21,980,878.76
  5. Step 5: Solve for x
    x = 21,980,878.76/5,342.30
  6. Step 6: Final answer
    x = 4,114.50

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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.