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Finding the Fourth Proportional to 3,500.74, 5,250.64 and 1,160.16

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Solution

The fourth proportional to 3,500.74, 5,250.64 and 1,160.16 is: 1,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.74 : 5,250.64 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    3,500.74/5,250.64 = 1,160.16/x
  3. Step 3: Cross multiply
    3,500.74x = 5,250.64 × 1,160.16
  4. Step 4: Simplify right side
    3,500.74x = 6,091,582.50
  5. Step 5: Solve for x
    x = 6,091,582.50/3,500.74
  6. Step 6: Final answer
    x = 1,740.08

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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.