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Finding the Fourth Proportional to 3,729.76, 5,595.36 and 1,265

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Solution

The fourth proportional to 3,729.76, 5,595.36 and 1,265 is: 1,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.76 : 5,595.36 = 1,265 : x
  2. Step 2: Convert to fraction form
    3,729.76/5,595.36 = 1,265/x
  3. Step 3: Cross multiply
    3,729.76x = 5,595.36 × 1,265
  4. Step 4: Simplify right side
    3,729.76x = 7,078,130.40
  5. Step 5: Solve for x
    x = 7,078,130.40/3,729.76
  6. Step 6: Final answer
    x = 1,897.74

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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.