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Finding the Fourth Proportional to 4,038.52, 6,054 and 1,572.80

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Solution

The fourth proportional to 4,038.52, 6,054 and 1,572.80 is: 2,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.52 : 6,054 = 1,572.80 : x
  2. Step 2: Convert to fraction form
    4,038.52/6,054 = 1,572.80/x
  3. Step 3: Cross multiply
    4,038.52x = 6,054 × 1,572.80
  4. Step 4: Simplify right side
    4,038.52x = 9,521,731.20
  5. Step 5: Solve for x
    x = 9,521,731.20/4,038.52
  6. Step 6: Final answer
    x = 2,357.73

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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.