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Finding the Fourth Proportional to 3,472.16, 5,210 and 1,525.72

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Solution

The fourth proportional to 3,472.16, 5,210 and 1,525.72 is: 2,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.16 : 5,210 = 1,525.72 : x
  2. Step 2: Convert to fraction form
    3,472.16/5,210 = 1,525.72/x
  3. Step 3: Cross multiply
    3,472.16x = 5,210 × 1,525.72
  4. Step 4: Simplify right side
    3,472.16x = 7,949,001.20
  5. Step 5: Solve for x
    x = 7,949,001.20/3,472.16
  6. Step 6: Final answer
    x = 2,289.35

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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.