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Finding the Fourth Proportional to 5,363.44, 7,402 and 3,005.80

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Solution

The fourth proportional to 5,363.44, 7,402 and 3,005.80 is: 4,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.44 : 7,402 = 3,005.80 : x
  2. Step 2: Convert to fraction form
    5,363.44/7,402 = 3,005.80/x
  3. Step 3: Cross multiply
    5,363.44x = 7,402 × 3,005.80
  4. Step 4: Simplify right side
    5,363.44x = 22,248,931.60
  5. Step 5: Solve for x
    x = 22,248,931.60/5,363.44
  6. Step 6: Final answer
    x = 4,148.26

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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.