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Finding the Fourth Proportional to 5,746.17, 8,617.12 and 2,047.42

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Solution

The fourth proportional to 5,746.17, 8,617.12 and 2,047.42 is: 3,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.17 : 8,617.12 = 2,047.42 : x
  2. Step 2: Convert to fraction form
    5,746.17/8,617.12 = 2,047.42/x
  3. Step 3: Cross multiply
    5,746.17x = 8,617.12 × 2,047.42
  4. Step 4: Simplify right side
    5,746.17x = 17,642,820.74
  5. Step 5: Solve for x
    x = 17,642,820.74/5,746.17
  6. Step 6: Final answer
    x = 3,070.36

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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.