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Finding the Fourth Proportional to 4,103.95, 6,152.27 and 1,506.28

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Solution

The fourth proportional to 4,103.95, 6,152.27 and 1,506.28 is: 2,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.95 : 6,152.27 = 1,506.28 : x
  2. Step 2: Convert to fraction form
    4,103.95/6,152.27 = 1,506.28/x
  3. Step 3: Cross multiply
    4,103.95x = 6,152.27 × 1,506.28
  4. Step 4: Simplify right side
    4,103.95x = 9,267,029.64
  5. Step 5: Solve for x
    x = 9,267,029.64/4,103.95
  6. Step 6: Final answer
    x = 2,258.08

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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.