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Finding the Fourth Proportional to 5,488.32, 7,575.06 and 3,498.42

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Solution

The fourth proportional to 5,488.32, 7,575.06 and 3,498.42 is: 4,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.32 : 7,575.06 = 3,498.42 : x
  2. Step 2: Convert to fraction form
    5,488.32/7,575.06 = 3,498.42/x
  3. Step 3: Cross multiply
    5,488.32x = 7,575.06 × 3,498.42
  4. Step 4: Simplify right side
    5,488.32x = 26,500,741.41
  5. Step 5: Solve for x
    x = 26,500,741.41/5,488.32
  6. Step 6: Final answer
    x = 4,828.57

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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.