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Finding the Fourth Proportional to 4,866.02, 7,299.06 and 1,746.14

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Solution

The fourth proportional to 4,866.02, 7,299.06 and 1,746.14 is: 2,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.02 : 7,299.06 = 1,746.14 : x
  2. Step 2: Convert to fraction form
    4,866.02/7,299.06 = 1,746.14/x
  3. Step 3: Cross multiply
    4,866.02x = 7,299.06 × 1,746.14
  4. Step 4: Simplify right side
    4,866.02x = 12,745,180.63
  5. Step 5: Solve for x
    x = 12,745,180.63/4,866.02
  6. Step 6: Final answer
    x = 2,619.22

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Similar ratio
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1.5x scale

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.