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Finding the Fourth Proportional to 4,692.30, 7,039.35 and 1,405.32

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Solution

The fourth proportional to 4,692.30, 7,039.35 and 1,405.32 is: 2,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.30 : 7,039.35 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    4,692.30/7,039.35 = 1,405.32/x
  3. Step 3: Cross multiply
    4,692.30x = 7,039.35 × 1,405.32
  4. Step 4: Simplify right side
    4,692.30x = 9,892,539.34
  5. Step 5: Solve for x
    x = 9,892,539.34/4,692.30
  6. Step 6: Final answer
    x = 2,108.25

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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.