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Finding the Fourth Proportional to 5,545.74, 7,656.72 and 4,284.60

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Solution

The fourth proportional to 5,545.74, 7,656.72 and 4,284.60 is: 5,915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.74 : 7,656.72 = 4,284.60 : x
  2. Step 2: Convert to fraction form
    5,545.74/7,656.72 = 4,284.60/x
  3. Step 3: Cross multiply
    5,545.74x = 7,656.72 × 4,284.60
  4. Step 4: Simplify right side
    5,545.74x = 32,805,982.51
  5. Step 5: Solve for x
    x = 32,805,982.51/5,545.74
  6. Step 6: Final answer
    x = 5,915.53

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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.