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Finding the Fourth Proportional to 5,326.40, 7,342.55 and 3,412.01

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Solution

The fourth proportional to 5,326.40, 7,342.55 and 3,412.01 is: 4,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.40 : 7,342.55 = 3,412.01 : x
  2. Step 2: Convert to fraction form
    5,326.40/7,342.55 = 3,412.01/x
  3. Step 3: Cross multiply
    5,326.40x = 7,342.55 × 3,412.01
  4. Step 4: Simplify right side
    5,326.40x = 25,052,854.03
  5. Step 5: Solve for x
    x = 25,052,854.03/5,326.40
  6. Step 6: Final answer
    x = 4,703.52

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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.