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Finding the Fourth Proportional to 3,491.37, 5,237.06 and 894.51

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Solution

The fourth proportional to 3,491.37, 5,237.06 and 894.51 is: 1,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.37 : 5,237.06 = 894.51 : x
  2. Step 2: Convert to fraction form
    3,491.37/5,237.06 = 894.51/x
  3. Step 3: Cross multiply
    3,491.37x = 5,237.06 × 894.51
  4. Step 4: Simplify right side
    3,491.37x = 4,684,598.07
  5. Step 5: Solve for x
    x = 4,684,598.07/3,491.37
  6. Step 6: Final answer
    x = 1,341.77

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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.