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Finding the Fourth Proportional to 6,038.29, 9,041.97 and 3,574.88

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Solution

The fourth proportional to 6,038.29, 9,041.97 and 3,574.88 is: 5,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.29 : 9,041.97 = 3,574.88 : x
  2. Step 2: Convert to fraction form
    6,038.29/9,041.97 = 3,574.88/x
  3. Step 3: Cross multiply
    6,038.29x = 9,041.97 × 3,574.88
  4. Step 4: Simplify right side
    6,038.29x = 32,323,957.71
  5. Step 5: Solve for x
    x = 32,323,957.71/6,038.29
  6. Step 6: Final answer
    x = 5,353.16

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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.