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Finding the Fourth Proportional to 5,612.64, 7,746.84 and 3,256.20

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Solution

The fourth proportional to 5,612.64, 7,746.84 and 3,256.20 is: 4,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.64 : 7,746.84 = 3,256.20 : x
  2. Step 2: Convert to fraction form
    5,612.64/7,746.84 = 3,256.20/x
  3. Step 3: Cross multiply
    5,612.64x = 7,746.84 × 3,256.20
  4. Step 4: Simplify right side
    5,612.64x = 25,225,260.41
  5. Step 5: Solve for x
    x = 25,225,260.41/5,612.64
  6. Step 6: Final answer
    x = 4,494.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.