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Finding the Fourth Proportional to 4,692.71, 6,465.32 and 3,852.08

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Solution

The fourth proportional to 4,692.71, 6,465.32 and 3,852.08 is: 5,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.71 : 6,465.32 = 3,852.08 : x
  2. Step 2: Convert to fraction form
    4,692.71/6,465.32 = 3,852.08/x
  3. Step 3: Cross multiply
    4,692.71x = 6,465.32 × 3,852.08
  4. Step 4: Simplify right side
    4,692.71x = 24,904,935.15
  5. Step 5: Solve for x
    x = 24,904,935.15/4,692.71
  6. Step 6: Final answer
    x = 5,307.15

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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.