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Finding the Fourth Proportional to 3,535.34, 5,303.86 and 2,497.36

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Solution

The fourth proportional to 3,535.34, 5,303.86 and 2,497.36 is: 3,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.34 : 5,303.86 = 2,497.36 : x
  2. Step 2: Convert to fraction form
    3,535.34/5,303.86 = 2,497.36/x
  3. Step 3: Cross multiply
    3,535.34x = 5,303.86 × 2,497.36
  4. Step 4: Simplify right side
    3,535.34x = 13,245,647.81
  5. Step 5: Solve for x
    x = 13,245,647.81/3,535.34
  6. Step 6: Final answer
    x = 3,746.64

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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.