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Finding the Fourth Proportional to 3,537.60, 5,305.10 and 1,071.69

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Solution

The fourth proportional to 3,537.60, 5,305.10 and 1,071.69 is: 1,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.60 : 5,305.10 = 1,071.69 : x
  2. Step 2: Convert to fraction form
    3,537.60/5,305.10 = 1,071.69/x
  3. Step 3: Cross multiply
    3,537.60x = 5,305.10 × 1,071.69
  4. Step 4: Simplify right side
    3,537.60x = 5,685,417.26
  5. Step 5: Solve for x
    x = 5,685,417.26/3,537.60
  6. Step 6: Final answer
    x = 1,607.14

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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.