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Finding the Fourth Proportional to 3,554.76, 5,332.74 and 1,214.60

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Solution

The fourth proportional to 3,554.76, 5,332.74 and 1,214.60 is: 1,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.76 : 5,332.74 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    3,554.76/5,332.74 = 1,214.60/x
  3. Step 3: Cross multiply
    3,554.76x = 5,332.74 × 1,214.60
  4. Step 4: Simplify right side
    3,554.76x = 6,477,146.00
  5. Step 5: Solve for x
    x = 6,477,146.00/3,554.76
  6. Step 6: Final answer
    x = 1,822.11

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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.