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Finding the Fourth Proportional to 4,368.40, 6,545.40 and 4,109.20

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Solution

The fourth proportional to 4,368.40, 6,545.40 and 4,109.20 is: 6,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.40 : 6,545.40 = 4,109.20 : x
  2. Step 2: Convert to fraction form
    4,368.40/6,545.40 = 4,109.20/x
  3. Step 3: Cross multiply
    4,368.40x = 6,545.40 × 4,109.20
  4. Step 4: Simplify right side
    4,368.40x = 26,896,357.68
  5. Step 5: Solve for x
    x = 26,896,357.68/4,368.40
  6. Step 6: Final answer
    x = 6,157.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.