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Finding the Fourth Proportional to 5,488.75, 7,574.48 and 3,130.84

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Solution

The fourth proportional to 5,488.75, 7,574.48 and 3,130.84 is: 4,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.75 : 7,574.48 = 3,130.84 : x
  2. Step 2: Convert to fraction form
    5,488.75/7,574.48 = 3,130.84/x
  3. Step 3: Cross multiply
    5,488.75x = 7,574.48 × 3,130.84
  4. Step 4: Simplify right side
    5,488.75x = 23,714,484.96
  5. Step 5: Solve for x
    x = 23,714,484.96/5,488.75
  6. Step 6: Final answer
    x = 4,320.56

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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.