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Finding the Fourth Proportional to 5,746.74, 8,622.74 and 4,288.74

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Solution

The fourth proportional to 5,746.74, 8,622.74 and 4,288.74 is: 6,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.74 : 8,622.74 = 4,288.74 : x
  2. Step 2: Convert to fraction form
    5,746.74/8,622.74 = 4,288.74/x
  3. Step 3: Cross multiply
    5,746.74x = 8,622.74 × 4,288.74
  4. Step 4: Simplify right side
    5,746.74x = 36,980,689.95
  5. Step 5: Solve for x
    x = 36,980,689.95/5,746.74
  6. Step 6: Final answer
    x = 6,435.07

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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.