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Finding the Fourth Proportional to 5,290.56, 7,303.86 and 3,498.12

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Solution

The fourth proportional to 5,290.56, 7,303.86 and 3,498.12 is: 4,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.56 : 7,303.86 = 3,498.12 : x
  2. Step 2: Convert to fraction form
    5,290.56/7,303.86 = 3,498.12/x
  3. Step 3: Cross multiply
    5,290.56x = 7,303.86 × 3,498.12
  4. Step 4: Simplify right side
    5,290.56x = 25,549,778.74
  5. Step 5: Solve for x
    x = 25,549,778.74/5,290.56
  6. Step 6: Final answer
    x = 4,829.31

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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.