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Finding the Fourth Proportional to 4,467.93, 6,702.16 and 1,506.13

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Solution

The fourth proportional to 4,467.93, 6,702.16 and 1,506.13 is: 2,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.93 : 6,702.16 = 1,506.13 : x
  2. Step 2: Convert to fraction form
    4,467.93/6,702.16 = 1,506.13/x
  3. Step 3: Cross multiply
    4,467.93x = 6,702.16 × 1,506.13
  4. Step 4: Simplify right side
    4,467.93x = 10,094,324.24
  5. Step 5: Solve for x
    x = 10,094,324.24/4,467.93
  6. Step 6: Final answer
    x = 2,259.28

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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.