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Finding the Fourth Proportional to 5,259.76, 7,258.62 and 2,902

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Solution

The fourth proportional to 5,259.76, 7,258.62 and 2,902 is: 4,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.76 : 7,258.62 = 2,902 : x
  2. Step 2: Convert to fraction form
    5,259.76/7,258.62 = 2,902/x
  3. Step 3: Cross multiply
    5,259.76x = 7,258.62 × 2,902
  4. Step 4: Simplify right side
    5,259.76x = 21,064,515.24
  5. Step 5: Solve for x
    x = 21,064,515.24/5,259.76
  6. Step 6: Final answer
    x = 4,004.84

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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.