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Finding the Fourth Proportional to 4,646.24, 6,968.84 and 1,359.36

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Solution

The fourth proportional to 4,646.24, 6,968.84 and 1,359.36 is: 2,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.24 : 6,968.84 = 1,359.36 : x
  2. Step 2: Convert to fraction form
    4,646.24/6,968.84 = 1,359.36/x
  3. Step 3: Cross multiply
    4,646.24x = 6,968.84 × 1,359.36
  4. Step 4: Simplify right side
    4,646.24x = 9,473,165.74
  5. Step 5: Solve for x
    x = 9,473,165.74/4,646.24
  6. Step 6: Final answer
    x = 2,038.89

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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.