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Finding the Fourth Proportional to 3,640.19, 5,460.28 and 904.19

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Solution

The fourth proportional to 3,640.19, 5,460.28 and 904.19 is: 1,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.19 : 5,460.28 = 904.19 : x
  2. Step 2: Convert to fraction form
    3,640.19/5,460.28 = 904.19/x
  3. Step 3: Cross multiply
    3,640.19x = 5,460.28 × 904.19
  4. Step 4: Simplify right side
    3,640.19x = 4,937,130.57
  5. Step 5: Solve for x
    x = 4,937,130.57/3,640.19
  6. Step 6: Final answer
    x = 1,356.28

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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.