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Finding the Fourth Proportional to 6,034.64, 9,054.72 and 3,574.32

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Solution

The fourth proportional to 6,034.64, 9,054.72 and 3,574.32 is: 5,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.64 : 9,054.72 = 3,574.32 : x
  2. Step 2: Convert to fraction form
    6,034.64/9,054.72 = 3,574.32/x
  3. Step 3: Cross multiply
    6,034.64x = 9,054.72 × 3,574.32
  4. Step 4: Simplify right side
    6,034.64x = 32,364,466.79
  5. Step 5: Solve for x
    x = 32,364,466.79/6,034.64
  6. Step 6: Final answer
    x = 5,363.11

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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.