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Finding the Fourth Proportional to 5,034.82, 7,547.05 and 1,746.11

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Solution

The fourth proportional to 5,034.82, 7,547.05 and 1,746.11 is: 2,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.82 : 7,547.05 = 1,746.11 : x
  2. Step 2: Convert to fraction form
    5,034.82/7,547.05 = 1,746.11/x
  3. Step 3: Cross multiply
    5,034.82x = 7,547.05 × 1,746.11
  4. Step 4: Simplify right side
    5,034.82x = 13,177,979.48
  5. Step 5: Solve for x
    x = 13,177,979.48/5,034.82
  6. Step 6: Final answer
    x = 2,617.37

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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.