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Finding the Fourth Proportional to 4,678.04, 7,012.18 and 1,903.60

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Solution

The fourth proportional to 4,678.04, 7,012.18 and 1,903.60 is: 2,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.04 : 7,012.18 = 1,903.60 : x
  2. Step 2: Convert to fraction form
    4,678.04/7,012.18 = 1,903.60/x
  3. Step 3: Cross multiply
    4,678.04x = 7,012.18 × 1,903.60
  4. Step 4: Simplify right side
    4,678.04x = 13,348,385.85
  5. Step 5: Solve for x
    x = 13,348,385.85/4,678.04
  6. Step 6: Final answer
    x = 2,853.41

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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.