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Finding the Fourth Proportional to 3,572.16, 5,357.52 and 1,106.39

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Solution

The fourth proportional to 3,572.16, 5,357.52 and 1,106.39 is: 1,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.16 : 5,357.52 = 1,106.39 : x
  2. Step 2: Convert to fraction form
    3,572.16/5,357.52 = 1,106.39/x
  3. Step 3: Cross multiply
    3,572.16x = 5,357.52 × 1,106.39
  4. Step 4: Simplify right side
    3,572.16x = 5,927,479.77
  5. Step 5: Solve for x
    x = 5,927,479.77/3,572.16
  6. Step 6: Final answer
    x = 1,659.35

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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.