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Finding the Fourth Proportional to 5,114.61, 7,054.20 and 3,297.06

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Solution

The fourth proportional to 5,114.61, 7,054.20 and 3,297.06 is: 4,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.61 : 7,054.20 = 3,297.06 : x
  2. Step 2: Convert to fraction form
    5,114.61/7,054.20 = 3,297.06/x
  3. Step 3: Cross multiply
    5,114.61x = 7,054.20 × 3,297.06
  4. Step 4: Simplify right side
    5,114.61x = 23,258,120.65
  5. Step 5: Solve for x
    x = 23,258,120.65/5,114.61
  6. Step 6: Final answer
    x = 4,547.39

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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.