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Finding the Fourth Proportional to 4,807.36, 7,206.36 and 2,342.08

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Solution

The fourth proportional to 4,807.36, 7,206.36 and 2,342.08 is: 3,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.36 : 7,206.36 = 2,342.08 : x
  2. Step 2: Convert to fraction form
    4,807.36/7,206.36 = 2,342.08/x
  3. Step 3: Cross multiply
    4,807.36x = 7,206.36 × 2,342.08
  4. Step 4: Simplify right side
    4,807.36x = 16,877,871.63
  5. Step 5: Solve for x
    x = 16,877,871.63/4,807.36
  6. Step 6: Final answer
    x = 3,510.84

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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.