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Finding the Fourth Proportional to 4,437.64, 6,652 and 1,513.95

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Solution

The fourth proportional to 4,437.64, 6,652 and 1,513.95 is: 2,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.64 : 6,652 = 1,513.95 : x
  2. Step 2: Convert to fraction form
    4,437.64/6,652 = 1,513.95/x
  3. Step 3: Cross multiply
    4,437.64x = 6,652 × 1,513.95
  4. Step 4: Simplify right side
    4,437.64x = 10,070,795.40
  5. Step 5: Solve for x
    x = 10,070,795.40/4,437.64
  6. Step 6: Final answer
    x = 2,269.40

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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.