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Finding the Fourth Proportional to 3,473.60, 5,210.08 and 1,165.12

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Solution

The fourth proportional to 3,473.60, 5,210.08 and 1,165.12 is: 1,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.60 : 5,210.08 = 1,165.12 : x
  2. Step 2: Convert to fraction form
    3,473.60/5,210.08 = 1,165.12/x
  3. Step 3: Cross multiply
    3,473.60x = 5,210.08 × 1,165.12
  4. Step 4: Simplify right side
    3,473.60x = 6,070,368.41
  5. Step 5: Solve for x
    x = 6,070,368.41/3,473.60
  6. Step 6: Final answer
    x = 1,747.57

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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.