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Finding the Fourth Proportional to 3,535.53, 5,303.13 and 1,455.02

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Solution

The fourth proportional to 3,535.53, 5,303.13 and 1,455.02 is: 2,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.53 : 5,303.13 = 1,455.02 : x
  2. Step 2: Convert to fraction form
    3,535.53/5,303.13 = 1,455.02/x
  3. Step 3: Cross multiply
    3,535.53x = 5,303.13 × 1,455.02
  4. Step 4: Simplify right side
    3,535.53x = 7,716,133.70
  5. Step 5: Solve for x
    x = 7,716,133.70/3,535.53
  6. Step 6: Final answer
    x = 2,182.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.