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Finding the Fourth Proportional to 3,803.08, 5,702.18 and 1,583.45

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Solution

The fourth proportional to 3,803.08, 5,702.18 and 1,583.45 is: 2,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.08 : 5,702.18 = 1,583.45 : x
  2. Step 2: Convert to fraction form
    3,803.08/5,702.18 = 1,583.45/x
  3. Step 3: Cross multiply
    3,803.08x = 5,702.18 × 1,583.45
  4. Step 4: Simplify right side
    3,803.08x = 9,029,101.88
  5. Step 5: Solve for x
    x = 9,029,101.88/3,803.08
  6. Step 6: Final answer
    x = 2,374.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.