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Finding the Fourth Proportional to 3,746.16, 5,598.50 and 3,530.09

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Solution

The fourth proportional to 3,746.16, 5,598.50 and 3,530.09 is: 5,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.16 : 5,598.50 = 3,530.09 : x
  2. Step 2: Convert to fraction form
    3,746.16/5,598.50 = 3,530.09/x
  3. Step 3: Cross multiply
    3,746.16x = 5,598.50 × 3,530.09
  4. Step 4: Simplify right side
    3,746.16x = 19,763,163.22
  5. Step 5: Solve for x
    x = 19,763,163.22/3,746.16
  6. Step 6: Final answer
    x = 5,275.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.