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Finding the Fourth Proportional to 2,572.89, 3,547.98 and 2,288.41

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Solution

The fourth proportional to 2,572.89, 3,547.98 and 2,288.41 is: 3,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.89 : 3,547.98 = 2,288.41 : x
  2. Step 2: Convert to fraction form
    2,572.89/3,547.98 = 2,288.41/x
  3. Step 3: Cross multiply
    2,572.89x = 3,547.98 × 2,288.41
  4. Step 4: Simplify right side
    2,572.89x = 8,119,216.12
  5. Step 5: Solve for x
    x = 8,119,216.12/2,572.89
  6. Step 6: Final answer
    x = 3,155.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.