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Finding the Fourth Proportional to 5,283.80, 7,291.82 and 2,926.16

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Solution

The fourth proportional to 5,283.80, 7,291.82 and 2,926.16 is: 4,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.80 : 7,291.82 = 2,926.16 : x
  2. Step 2: Convert to fraction form
    5,283.80/7,291.82 = 2,926.16/x
  3. Step 3: Cross multiply
    5,283.80x = 7,291.82 × 2,926.16
  4. Step 4: Simplify right side
    5,283.80x = 21,337,032.01
  5. Step 5: Solve for x
    x = 21,337,032.01/5,283.80
  6. Step 6: Final answer
    x = 4,038.20

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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.