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Finding the Fourth Proportional to 5,164.42, 7,746.54 and 1,701.70

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Solution

The fourth proportional to 5,164.42, 7,746.54 and 1,701.70 is: 2,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.42 : 7,746.54 = 1,701.70 : x
  2. Step 2: Convert to fraction form
    5,164.42/7,746.54 = 1,701.70/x
  3. Step 3: Cross multiply
    5,164.42x = 7,746.54 × 1,701.70
  4. Step 4: Simplify right side
    5,164.42x = 13,182,287.12
  5. Step 5: Solve for x
    x = 13,182,287.12/5,164.42
  6. Step 6: Final answer
    x = 2,552.52

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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.