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Finding the Fourth Proportional to 5,746.60, 8,619.90 and 5,429.80

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Solution

The fourth proportional to 5,746.60, 8,619.90 and 5,429.80 is: 8,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.60 : 8,619.90 = 5,429.80 : x
  2. Step 2: Convert to fraction form
    5,746.60/8,619.90 = 5,429.80/x
  3. Step 3: Cross multiply
    5,746.60x = 8,619.90 × 5,429.80
  4. Step 4: Simplify right side
    5,746.60x = 46,804,333.02
  5. Step 5: Solve for x
    x = 46,804,333.02/5,746.60
  6. Step 6: Final answer
    x = 8,144.70

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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.