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Finding the Fourth Proportional to 5,233.80, 7,341.90 and 5,233.80

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Solution

The fourth proportional to 5,233.80, 7,341.90 and 5,233.80 is: 7,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.80 : 7,341.90 = 5,233.80 : x
  2. Step 2: Convert to fraction form
    5,233.80/7,341.90 = 5,233.80/x
  3. Step 3: Cross multiply
    5,233.80x = 7,341.90 × 5,233.80
  4. Step 4: Simplify right side
    5,233.80x = 38,426,036.22
  5. Step 5: Solve for x
    x = 38,426,036.22/5,233.80
  6. Step 6: Final answer
    x = 7,341.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.