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Finding the Fourth Proportional to 4,711.83, 6,506.67 and 3,530.85

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Solution

The fourth proportional to 4,711.83, 6,506.67 and 3,530.85 is: 4,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.83 : 6,506.67 = 3,530.85 : x
  2. Step 2: Convert to fraction form
    4,711.83/6,506.67 = 3,530.85/x
  3. Step 3: Cross multiply
    4,711.83x = 6,506.67 × 3,530.85
  4. Step 4: Simplify right side
    4,711.83x = 22,974,075.77
  5. Step 5: Solve for x
    x = 22,974,075.77/4,711.83
  6. Step 6: Final answer
    x = 4,875.83

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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.