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Finding the Fourth Proportional to 4,477.65, 6,702.58 and 3,813.35

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Solution

The fourth proportional to 4,477.65, 6,702.58 and 3,813.35 is: 5,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.65 : 6,702.58 = 3,813.35 : x
  2. Step 2: Convert to fraction form
    4,477.65/6,702.58 = 3,813.35/x
  3. Step 3: Cross multiply
    4,477.65x = 6,702.58 × 3,813.35
  4. Step 4: Simplify right side
    4,477.65x = 25,559,254.70
  5. Step 5: Solve for x
    x = 25,559,254.70/4,477.65
  6. Step 6: Final answer
    x = 5,708.19

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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.