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Finding the Fourth Proportional to 5,223.60, 7,830.96 and 3,029.68

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Solution

The fourth proportional to 5,223.60, 7,830.96 and 3,029.68 is: 4,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.60 : 7,830.96 = 3,029.68 : x
  2. Step 2: Convert to fraction form
    5,223.60/7,830.96 = 3,029.68/x
  3. Step 3: Cross multiply
    5,223.60x = 7,830.96 × 3,029.68
  4. Step 4: Simplify right side
    5,223.60x = 23,725,302.89
  5. Step 5: Solve for x
    x = 23,725,302.89/5,223.60
  6. Step 6: Final answer
    x = 4,541.94

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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.