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Finding the Fourth Proportional to 4,071.57, 6,108.18 and 1,298.16

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Solution

The fourth proportional to 4,071.57, 6,108.18 and 1,298.16 is: 1,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.57 : 6,108.18 = 1,298.16 : x
  2. Step 2: Convert to fraction form
    4,071.57/6,108.18 = 1,298.16/x
  3. Step 3: Cross multiply
    4,071.57x = 6,108.18 × 1,298.16
  4. Step 4: Simplify right side
    4,071.57x = 7,929,390.08
  5. Step 5: Solve for x
    x = 7,929,390.08/4,071.57
  6. Step 6: Final answer
    x = 1,947.50

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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.