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Finding the Fourth Proportional to 5,258.17, 7,256.13 and 2,900.16

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Solution

The fourth proportional to 5,258.17, 7,256.13 and 2,900.16 is: 4,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.17 : 7,256.13 = 2,900.16 : x
  2. Step 2: Convert to fraction form
    5,258.17/7,256.13 = 2,900.16/x
  3. Step 3: Cross multiply
    5,258.17x = 7,256.13 × 2,900.16
  4. Step 4: Simplify right side
    5,258.17x = 21,043,937.98
  5. Step 5: Solve for x
    x = 21,043,937.98/5,258.17
  6. Step 6: Final answer
    x = 4,002.14

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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.