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Finding the Fourth Proportional to 5,612.16, 7,746.48 and 3,254.88

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Solution

The fourth proportional to 5,612.16, 7,746.48 and 3,254.88 is: 4,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.16 : 7,746.48 = 3,254.88 : x
  2. Step 2: Convert to fraction form
    5,612.16/7,746.48 = 3,254.88/x
  3. Step 3: Cross multiply
    5,612.16x = 7,746.48 × 3,254.88
  4. Step 4: Simplify right side
    5,612.16x = 25,213,862.82
  5. Step 5: Solve for x
    x = 25,213,862.82/5,612.16
  6. Step 6: Final answer
    x = 4,492.72

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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.