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Finding the Fourth Proportional to 5,258.34, 7,256.46 and 2,900.48

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Solution

The fourth proportional to 5,258.34, 7,256.46 and 2,900.48 is: 4,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.34 : 7,256.46 = 2,900.48 : x
  2. Step 2: Convert to fraction form
    5,258.34/7,256.46 = 2,900.48/x
  3. Step 3: Cross multiply
    5,258.34x = 7,256.46 × 2,900.48
  4. Step 4: Simplify right side
    5,258.34x = 21,047,235.24
  5. Step 5: Solve for x
    x = 21,047,235.24/5,258.34
  6. Step 6: Final answer
    x = 4,002.64

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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.