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Finding the Fourth Proportional to 6,034.57, 9,051.57 and 1,652.02

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Solution

The fourth proportional to 6,034.57, 9,051.57 and 1,652.02 is: 2,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.57 : 9,051.57 = 1,652.02 : x
  2. Step 2: Convert to fraction form
    6,034.57/9,051.57 = 1,652.02/x
  3. Step 3: Cross multiply
    6,034.57x = 9,051.57 × 1,652.02
  4. Step 4: Simplify right side
    6,034.57x = 14,953,352.04
  5. Step 5: Solve for x
    x = 14,953,352.04/6,034.57
  6. Step 6: Final answer
    x = 2,477.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.