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Finding the Fourth Proportional to 3,572.22, 5,358.30 and 975.16

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Solution

The fourth proportional to 3,572.22, 5,358.30 and 975.16 is: 1,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.22 : 5,358.30 = 975.16 : x
  2. Step 2: Convert to fraction form
    3,572.22/5,358.30 = 975.16/x
  3. Step 3: Cross multiply
    3,572.22x = 5,358.30 × 975.16
  4. Step 4: Simplify right side
    3,572.22x = 5,225,199.83
  5. Step 5: Solve for x
    x = 5,225,199.83/3,572.22
  6. Step 6: Final answer
    x = 1,462.73

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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.