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Finding the Fourth Proportional to 4,139.60, 6,207.06 and 1,506.20

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Solution

The fourth proportional to 4,139.60, 6,207.06 and 1,506.20 is: 2,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.60 : 6,207.06 = 1,506.20 : x
  2. Step 2: Convert to fraction form
    4,139.60/6,207.06 = 1,506.20/x
  3. Step 3: Cross multiply
    4,139.60x = 6,207.06 × 1,506.20
  4. Step 4: Simplify right side
    4,139.60x = 9,349,073.77
  5. Step 5: Solve for x
    x = 9,349,073.77/4,139.60
  6. Step 6: Final answer
    x = 2,258.45

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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.