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Finding the Fourth Proportional to 5,702.40, 8,552.66 and 2,003.76

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Solution

The fourth proportional to 5,702.40, 8,552.66 and 2,003.76 is: 3,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.40 : 8,552.66 = 2,003.76 : x
  2. Step 2: Convert to fraction form
    5,702.40/8,552.66 = 2,003.76/x
  3. Step 3: Cross multiply
    5,702.40x = 8,552.66 × 2,003.76
  4. Step 4: Simplify right side
    5,702.40x = 17,137,483.01
  5. Step 5: Solve for x
    x = 17,137,483.01/5,702.40
  6. Step 6: Final answer
    x = 3,005.31

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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.