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Finding the Fourth Proportional to 6,030.72, 9,046.44 and 1,870.92

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Solution

The fourth proportional to 6,030.72, 9,046.44 and 1,870.92 is: 2,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,030.72 : 9,046.44 = 1,870.92 : x
  2. Step 2: Convert to fraction form
    6,030.72/9,046.44 = 1,870.92/x
  3. Step 3: Cross multiply
    6,030.72x = 9,046.44 × 1,870.92
  4. Step 4: Simplify right side
    6,030.72x = 16,925,165.52
  5. Step 5: Solve for x
    x = 16,925,165.52/6,030.72
  6. Step 6: Final answer
    x = 2,806.49

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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.