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Finding the Fourth Proportional to 5,931.15, 8,165.79 and 4,669.98

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Solution

The fourth proportional to 5,931.15, 8,165.79 and 4,669.98 is: 6,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.15 : 8,165.79 = 4,669.98 : x
  2. Step 2: Convert to fraction form
    5,931.15/8,165.79 = 4,669.98/x
  3. Step 3: Cross multiply
    5,931.15x = 8,165.79 × 4,669.98
  4. Step 4: Simplify right side
    5,931.15x = 38,134,075.98
  5. Step 5: Solve for x
    x = 38,134,075.98/5,931.15
  6. Step 6: Final answer
    x = 6,429.46

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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.