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Finding the Fourth Proportional to 3,727.10, 5,590.64 and 953.77

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Solution

The fourth proportional to 3,727.10, 5,590.64 and 953.77 is: 1,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.10 : 5,590.64 = 953.77 : x
  2. Step 2: Convert to fraction form
    3,727.10/5,590.64 = 953.77/x
  3. Step 3: Cross multiply
    3,727.10x = 5,590.64 × 953.77
  4. Step 4: Simplify right side
    3,727.10x = 5,332,184.71
  5. Step 5: Solve for x
    x = 5,332,184.71/3,727.10
  6. Step 6: Final answer
    x = 1,430.65

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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.