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Finding the Fourth Proportional to 4,687.80, 7,032.06 and 1,400.64

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Solution

The fourth proportional to 4,687.80, 7,032.06 and 1,400.64 is: 2,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.80 : 7,032.06 = 1,400.64 : x
  2. Step 2: Convert to fraction form
    4,687.80/7,032.06 = 1,400.64/x
  3. Step 3: Cross multiply
    4,687.80x = 7,032.06 × 1,400.64
  4. Step 4: Simplify right side
    4,687.80x = 9,849,384.52
  5. Step 5: Solve for x
    x = 9,849,384.52/4,687.80
  6. Step 6: Final answer
    x = 2,101.07

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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.