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Finding the Fourth Proportional to 5,574.42, 7,690.95 and 4,160.16

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Solution

The fourth proportional to 5,574.42, 7,690.95 and 4,160.16 is: 5,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.42 : 7,690.95 = 4,160.16 : x
  2. Step 2: Convert to fraction form
    5,574.42/7,690.95 = 4,160.16/x
  3. Step 3: Cross multiply
    5,574.42x = 7,690.95 × 4,160.16
  4. Step 4: Simplify right side
    5,574.42x = 31,995,582.55
  5. Step 5: Solve for x
    x = 31,995,582.55/5,574.42
  6. Step 6: Final answer
    x = 5,739.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.