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Finding the Fourth Proportional to 3,506.01, 5,258.98 and 2,407.02

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Solution

The fourth proportional to 3,506.01, 5,258.98 and 2,407.02 is: 3,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.01 : 5,258.98 = 2,407.02 : x
  2. Step 2: Convert to fraction form
    3,506.01/5,258.98 = 2,407.02/x
  3. Step 3: Cross multiply
    3,506.01x = 5,258.98 × 2,407.02
  4. Step 4: Simplify right side
    3,506.01x = 12,658,470.04
  5. Step 5: Solve for x
    x = 12,658,470.04/3,506.01
  6. Step 6: Final answer
    x = 3,610.51

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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.