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Finding the Fourth Proportional to 3,534.77, 5,303.05 and 1,342.31

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Solution

The fourth proportional to 3,534.77, 5,303.05 and 1,342.31 is: 2,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.77 : 5,303.05 = 1,342.31 : x
  2. Step 2: Convert to fraction form
    3,534.77/5,303.05 = 1,342.31/x
  3. Step 3: Cross multiply
    3,534.77x = 5,303.05 × 1,342.31
  4. Step 4: Simplify right side
    3,534.77x = 7,118,307.17
  5. Step 5: Solve for x
    x = 7,118,307.17/3,534.77
  6. Step 6: Final answer
    x = 2,013.79

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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.