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Finding the Fourth Proportional to 5,673.60, 8,499.84 and 3,078.72

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Solution

The fourth proportional to 5,673.60, 8,499.84 and 3,078.72 is: 4,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.60 : 8,499.84 = 3,078.72 : x
  2. Step 2: Convert to fraction form
    5,673.60/8,499.84 = 3,078.72/x
  3. Step 3: Cross multiply
    5,673.60x = 8,499.84 × 3,078.72
  4. Step 4: Simplify right side
    5,673.60x = 26,168,627.40
  5. Step 5: Solve for x
    x = 26,168,627.40/5,673.60
  6. Step 6: Final answer
    x = 4,612.35

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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.