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Finding the Fourth Proportional to 3,750.18, 5,625.60 and 976.84

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Solution

The fourth proportional to 3,750.18, 5,625.60 and 976.84 is: 1,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.18 : 5,625.60 = 976.84 : x
  2. Step 2: Convert to fraction form
    3,750.18/5,625.60 = 976.84/x
  3. Step 3: Cross multiply
    3,750.18x = 5,625.60 × 976.84
  4. Step 4: Simplify right side
    3,750.18x = 5,495,311.10
  5. Step 5: Solve for x
    x = 5,495,311.10/3,750.18
  6. Step 6: Final answer
    x = 1,465.35

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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.