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Finding the Fourth Proportional to 5,164.29, 7,750.08 and 2,970

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Solution

The fourth proportional to 5,164.29, 7,750.08 and 2,970 is: 4,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.29 : 7,750.08 = 2,970 : x
  2. Step 2: Convert to fraction form
    5,164.29/7,750.08 = 2,970/x
  3. Step 3: Cross multiply
    5,164.29x = 7,750.08 × 2,970
  4. Step 4: Simplify right side
    5,164.29x = 23,017,737.60
  5. Step 5: Solve for x
    x = 23,017,737.60/5,164.29
  6. Step 6: Final answer
    x = 4,457.10

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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.