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Finding the Fourth Proportional to 5,973.88, 8,962.34 and 3,510.77

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Solution

The fourth proportional to 5,973.88, 8,962.34 and 3,510.77 is: 5,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.88 : 8,962.34 = 3,510.77 : x
  2. Step 2: Convert to fraction form
    5,973.88/8,962.34 = 3,510.77/x
  3. Step 3: Cross multiply
    5,973.88x = 8,962.34 × 3,510.77
  4. Step 4: Simplify right side
    5,973.88x = 31,464,696.85
  5. Step 5: Solve for x
    x = 31,464,696.85/5,973.88
  6. Step 6: Final answer
    x = 5,267.05

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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.