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Finding the Fourth Proportional to 4,210.72, 6,315.32 and 1,132

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Solution

The fourth proportional to 4,210.72, 6,315.32 and 1,132 is: 1,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.72 : 6,315.32 = 1,132 : x
  2. Step 2: Convert to fraction form
    4,210.72/6,315.32 = 1,132/x
  3. Step 3: Cross multiply
    4,210.72x = 6,315.32 × 1,132
  4. Step 4: Simplify right side
    4,210.72x = 7,148,942.24
  5. Step 5: Solve for x
    x = 7,148,942.24/4,210.72
  6. Step 6: Final answer
    x = 1,697.80

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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.