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Finding the Fourth Proportional to 5,293.40, 7,301.55 and 3,407.42

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Solution

The fourth proportional to 5,293.40, 7,301.55 and 3,407.42 is: 4,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.40 : 7,301.55 = 3,407.42 : x
  2. Step 2: Convert to fraction form
    5,293.40/7,301.55 = 3,407.42/x
  3. Step 3: Cross multiply
    5,293.40x = 7,301.55 × 3,407.42
  4. Step 4: Simplify right side
    5,293.40x = 24,879,447.50
  5. Step 5: Solve for x
    x = 24,879,447.50/5,293.40
  6. Step 6: Final answer
    x = 4,700.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.