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Finding the Fourth Proportional to 3,437.40, 4,743.63 and 1,865.51

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Solution

The fourth proportional to 3,437.40, 4,743.63 and 1,865.51 is: 2,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.40 : 4,743.63 = 1,865.51 : x
  2. Step 2: Convert to fraction form
    3,437.40/4,743.63 = 1,865.51/x
  3. Step 3: Cross multiply
    3,437.40x = 4,743.63 × 1,865.51
  4. Step 4: Simplify right side
    3,437.40x = 8,849,289.20
  5. Step 5: Solve for x
    x = 8,849,289.20/3,437.40
  6. Step 6: Final answer
    x = 2,574.41

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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.