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Finding the Fourth Proportional to 5,259.50, 7,258.14 and 2,901.60

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Solution

The fourth proportional to 5,259.50, 7,258.14 and 2,901.60 is: 4,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.50 : 7,258.14 = 2,901.60 : x
  2. Step 2: Convert to fraction form
    5,259.50/7,258.14 = 2,901.60/x
  3. Step 3: Cross multiply
    5,259.50x = 7,258.14 × 2,901.60
  4. Step 4: Simplify right side
    5,259.50x = 21,060,219.02
  5. Step 5: Solve for x
    x = 21,060,219.02/5,259.50
  6. Step 6: Final answer
    x = 4,004.22

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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.