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Finding the Fourth Proportional to 3,903.12, 5,852.52 and 1,594.08

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Solution

The fourth proportional to 3,903.12, 5,852.52 and 1,594.08 is: 2,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.12 : 5,852.52 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    3,903.12/5,852.52 = 1,594.08/x
  3. Step 3: Cross multiply
    3,903.12x = 5,852.52 × 1,594.08
  4. Step 4: Simplify right side
    3,903.12x = 9,329,385.08
  5. Step 5: Solve for x
    x = 9,329,385.08/3,903.12
  6. Step 6: Final answer
    x = 2,390.24

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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.