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Finding the Fourth Proportional to 5,291.51, 7,302.62 and 3,053.80

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Solution

The fourth proportional to 5,291.51, 7,302.62 and 3,053.80 is: 4,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.51 : 7,302.62 = 3,053.80 : x
  2. Step 2: Convert to fraction form
    5,291.51/7,302.62 = 3,053.80/x
  3. Step 3: Cross multiply
    5,291.51x = 7,302.62 × 3,053.80
  4. Step 4: Simplify right side
    5,291.51x = 22,300,689.17
  5. Step 5: Solve for x
    x = 22,300,689.17/5,291.51
  6. Step 6: Final answer
    x = 4,214.43

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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.