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Finding the Fourth Proportional to 5,291.34, 7,302.01 and 3,053.20

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Solution

The fourth proportional to 5,291.34, 7,302.01 and 3,053.20 is: 4,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.34 : 7,302.01 = 3,053.20 : x
  2. Step 2: Convert to fraction form
    5,291.34/7,302.01 = 3,053.20/x
  3. Step 3: Cross multiply
    5,291.34x = 7,302.01 × 3,053.20
  4. Step 4: Simplify right side
    5,291.34x = 22,294,445.16
  5. Step 5: Solve for x
    x = 22,294,445.16/5,291.34
  6. Step 6: Final answer
    x = 4,213.38

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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.