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Finding the Fourth Proportional to 5,648.50, 7,794.69 and 3,130.60

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Solution

The fourth proportional to 5,648.50, 7,794.69 and 3,130.60 is: 4,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.50 : 7,794.69 = 3,130.60 : x
  2. Step 2: Convert to fraction form
    5,648.50/7,794.69 = 3,130.60/x
  3. Step 3: Cross multiply
    5,648.50x = 7,794.69 × 3,130.60
  4. Step 4: Simplify right side
    5,648.50x = 24,402,056.51
  5. Step 5: Solve for x
    x = 24,402,056.51/5,648.50
  6. Step 6: Final answer
    x = 4,320.09

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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.